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Finding the Fourth Proportional to 8,343.60, 11,513.51 and 4,807.09

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Solution

The fourth proportional to 8,343.60, 11,513.51 and 4,807.09 is: 6,633.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,343.60 : 11,513.51 = 4,807.09 : x
  2. Step 2: Convert to fraction form
    8,343.60/11,513.51 = 4,807.09/x
  3. Step 3: Cross multiply
    8,343.60x = 11,513.51 × 4,807.09
  4. Step 4: Simplify right side
    8,343.60x = 55,346,454.75
  5. Step 5: Solve for x
    x = 55,346,454.75/8,343.60
  6. Step 6: Final answer
    x = 6,633.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.