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Finding the Fourth Proportional to 10,694.16, 14,757.05 and 6,156.61

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Solution

The fourth proportional to 10,694.16, 14,757.05 and 6,156.61 is: 8,495.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.16 : 14,757.05 = 6,156.61 : x
  2. Step 2: Convert to fraction form
    10,694.16/14,757.05 = 6,156.61/x
  3. Step 3: Cross multiply
    10,694.16x = 14,757.05 × 6,156.61
  4. Step 4: Simplify right side
    10,694.16x = 90,853,380.10
  5. Step 5: Solve for x
    x = 90,853,380.10/10,694.16
  6. Step 6: Final answer
    x = 8,495.61

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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.