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Finding the Fourth Proportional to 10,497.88, 15,747.72 and 4,263.10

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Solution

The fourth proportional to 10,497.88, 15,747.72 and 4,263.10 is: 6,395.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.88 : 15,747.72 = 4,263.10 : x
  2. Step 2: Convert to fraction form
    10,497.88/15,747.72 = 4,263.10/x
  3. Step 3: Cross multiply
    10,497.88x = 15,747.72 × 4,263.10
  4. Step 4: Simplify right side
    10,497.88x = 67,134,105.13
  5. Step 5: Solve for x
    x = 67,134,105.13/10,497.88
  6. Step 6: Final answer
    x = 6,395.02

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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.