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Finding the Fourth Proportional to 10,139.86, 15,200.97 and 4,872.23

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Solution

The fourth proportional to 10,139.86, 15,200.97 and 4,872.23 is: 7,304.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,139.86 : 15,200.97 = 4,872.23 : x
  2. Step 2: Convert to fraction form
    10,139.86/15,200.97 = 4,872.23/x
  3. Step 3: Cross multiply
    10,139.86x = 15,200.97 × 4,872.23
  4. Step 4: Simplify right side
    10,139.86x = 74,062,521.70
  5. Step 5: Solve for x
    x = 74,062,521.70/10,139.86
  6. Step 6: Final answer
    x = 7,304.10

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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.