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Finding the Fourth Proportional to 10,866.67, 16,298.65 and 3,471.91

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Solution

The fourth proportional to 10,866.67, 16,298.65 and 3,471.91 is: 5,207.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.67 : 16,298.65 = 3,471.91 : x
  2. Step 2: Convert to fraction form
    10,866.67/16,298.65 = 3,471.91/x
  3. Step 3: Cross multiply
    10,866.67x = 16,298.65 × 3,471.91
  4. Step 4: Simplify right side
    10,866.67x = 56,587,445.92
  5. Step 5: Solve for x
    x = 56,587,445.92/10,866.67
  6. Step 6: Final answer
    x = 5,207.43

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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.