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Finding the Fourth Proportional to 10,618.14, 15,934.14 and 4,044.38

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Solution

The fourth proportional to 10,618.14, 15,934.14 and 4,044.38 is: 6,069.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,618.14 : 15,934.14 = 4,044.38 : x
  2. Step 2: Convert to fraction form
    10,618.14/15,934.14 = 4,044.38/x
  3. Step 3: Cross multiply
    10,618.14x = 15,934.14 × 4,044.38
  4. Step 4: Simplify right side
    10,618.14x = 64,443,717.13
  5. Step 5: Solve for x
    x = 64,443,717.13/10,618.14
  6. Step 6: Final answer
    x = 6,069.21

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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.