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Finding the Fourth Proportional to 10,469.68, 15,702.08 and 4,926.86

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Solution

The fourth proportional to 10,469.68, 15,702.08 and 4,926.86 is: 7,389.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.68 : 15,702.08 = 4,926.86 : x
  2. Step 2: Convert to fraction form
    10,469.68/15,702.08 = 4,926.86/x
  3. Step 3: Cross multiply
    10,469.68x = 15,702.08 × 4,926.86
  4. Step 4: Simplify right side
    10,469.68x = 77,361,949.87
  5. Step 5: Solve for x
    x = 77,361,949.87/10,469.68
  6. Step 6: Final answer
    x = 7,389.14

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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.