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Finding the Fourth Proportional to 11,697.47, 16,142.25 and 6,592.95

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Solution

The fourth proportional to 11,697.47, 16,142.25 and 6,592.95 is: 9,098.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.47 : 16,142.25 = 6,592.95 : x
  2. Step 2: Convert to fraction form
    11,697.47/16,142.25 = 6,592.95/x
  3. Step 3: Cross multiply
    11,697.47x = 16,142.25 × 6,592.95
  4. Step 4: Simplify right side
    11,697.47x = 106,425,047.14
  5. Step 5: Solve for x
    x = 106,425,047.14/11,697.47
  6. Step 6: Final answer
    x = 9,098.13

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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.