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Finding the Fourth Proportional to 10,488.44, 15,714.20 and 9,864.12

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Solution

The fourth proportional to 10,488.44, 15,714.20 and 9,864.12 is: 14,778.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.44 : 15,714.20 = 9,864.12 : x
  2. Step 2: Convert to fraction form
    10,488.44/15,714.20 = 9,864.12/x
  3. Step 3: Cross multiply
    10,488.44x = 15,714.20 × 9,864.12
  4. Step 4: Simplify right side
    10,488.44x = 155,006,754.50
  5. Step 5: Solve for x
    x = 155,006,754.50/10,488.44
  6. Step 6: Final answer
    x = 14,778.82

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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.