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Finding the Fourth Proportional to 10,729.51, 14,807.42 and 6,013.39

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Solution

The fourth proportional to 10,729.51, 14,807.42 and 6,013.39 is: 8,298.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.51 : 14,807.42 = 6,013.39 : x
  2. Step 2: Convert to fraction form
    10,729.51/14,807.42 = 6,013.39/x
  3. Step 3: Cross multiply
    10,729.51x = 14,807.42 × 6,013.39
  4. Step 4: Simplify right side
    10,729.51x = 89,042,761.29
  5. Step 5: Solve for x
    x = 89,042,761.29/10,729.51
  6. Step 6: Final answer
    x = 8,298.87

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