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Finding the Fourth Proportional to 11,895.17, 16,414.14 and 6,589.00

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Solution

The fourth proportional to 11,895.17, 16,414.14 and 6,589.00 is: 9,092.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,895.17 : 16,414.14 = 6,589.00 : x
  2. Step 2: Convert to fraction form
    11,895.17/16,414.14 = 6,589.00/x
  3. Step 3: Cross multiply
    11,895.17x = 16,414.14 × 6,589.00
  4. Step 4: Simplify right side
    11,895.17x = 108,152,743.90
  5. Step 5: Solve for x
    x = 108,152,743.90/11,895.17
  6. Step 6: Final answer
    x = 9,092.15

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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.