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Finding the Fourth Proportional to 10,409.40, 15,614.91 and 3,013.97

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Solution

The fourth proportional to 10,409.40, 15,614.91 and 3,013.97 is: 4,521.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.40 : 15,614.91 = 3,013.97 : x
  2. Step 2: Convert to fraction form
    10,409.40/15,614.91 = 3,013.97/x
  3. Step 3: Cross multiply
    10,409.40x = 15,614.91 × 3,013.97
  4. Step 4: Simplify right side
    10,409.40x = 47,062,792.22
  5. Step 5: Solve for x
    x = 47,062,792.22/10,409.40
  6. Step 6: Final answer
    x = 4,521.18

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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.