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Finding the Fourth Proportional to 7,833.78, 11,750.64 and 2,572.47

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Solution

The fourth proportional to 7,833.78, 11,750.64 and 2,572.47 is: 3,858.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.78 : 11,750.64 = 2,572.47 : x
  2. Step 2: Convert to fraction form
    7,833.78/11,750.64 = 2,572.47/x
  3. Step 3: Cross multiply
    7,833.78x = 11,750.64 × 2,572.47
  4. Step 4: Simplify right side
    7,833.78x = 30,228,168.88
  5. Step 5: Solve for x
    x = 30,228,168.88/7,833.78
  6. Step 6: Final answer
    x = 3,858.70

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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.