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Finding the Fourth Proportional to 10,866.56, 16,293.29 and 5,929.34

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Solution

The fourth proportional to 10,866.56, 16,293.29 and 5,929.34 is: 8,890.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.56 : 16,293.29 = 5,929.34 : x
  2. Step 2: Convert to fraction form
    10,866.56/16,293.29 = 5,929.34/x
  3. Step 3: Cross multiply
    10,866.56x = 16,293.29 × 5,929.34
  4. Step 4: Simplify right side
    10,866.56x = 96,608,345.02
  5. Step 5: Solve for x
    x = 96,608,345.02/10,866.56
  6. Step 6: Final answer
    x = 8,890.43

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