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Finding the Fourth Proportional to 10,013.76, 15,039 and 5,639.76

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Solution

The fourth proportional to 10,013.76, 15,039 and 5,639.76 is: 8,469.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,013.76 : 15,039 = 5,639.76 : x
  2. Step 2: Convert to fraction form
    10,013.76/15,039 = 5,639.76/x
  3. Step 3: Cross multiply
    10,013.76x = 15,039 × 5,639.76
  4. Step 4: Simplify right side
    10,013.76x = 84,816,350.64
  5. Step 5: Solve for x
    x = 84,816,350.64/10,013.76
  6. Step 6: Final answer
    x = 8,469.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.