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Finding the Fourth Proportional to 10,290.44, 15,400.13 and 6,340.17

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Solution

The fourth proportional to 10,290.44, 15,400.13 and 6,340.17 is: 9,488.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,290.44 : 15,400.13 = 6,340.17 : x
  2. Step 2: Convert to fraction form
    10,290.44/15,400.13 = 6,340.17/x
  3. Step 3: Cross multiply
    10,290.44x = 15,400.13 × 6,340.17
  4. Step 4: Simplify right side
    10,290.44x = 97,639,468.27
  5. Step 5: Solve for x
    x = 97,639,468.27/10,290.44
  6. Step 6: Final answer
    x = 9,488.36

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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.