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Finding the Fourth Proportional to 7,843,257.60, 11,762,553.60 and 3,048,187.20

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Solution

The fourth proportional to 7,843,257.60, 11,762,553.60 and 3,048,187.20 is: 4,571,374.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843,257.60 : 11,762,553.60 = 3,048,187.20 : x
  2. Step 2: Convert to fraction form
    7,843,257.60/11,762,553.60 = 3,048,187.20/x
  3. Step 3: Cross multiply
    7,843,257.60x = 11,762,553.60 × 3,048,187.20
  4. Step 4: Simplify right side
    7,843,257.60x = 35,854,465,322,833.92
  5. Step 5: Solve for x
    x = 35,854,465,322,833.92/7,843,257.60
  6. Step 6: Final answer
    x = 4,571,374.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.