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Finding the Fourth Proportional to 10,468.78, 15,704.58 and 3,073.78

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Solution

The fourth proportional to 10,468.78, 15,704.58 and 3,073.78 is: 4,611.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.78 : 15,704.58 = 3,073.78 : x
  2. Step 2: Convert to fraction form
    10,468.78/15,704.58 = 3,073.78/x
  3. Step 3: Cross multiply
    10,468.78x = 15,704.58 × 3,073.78
  4. Step 4: Simplify right side
    10,468.78x = 48,272,423.91
  5. Step 5: Solve for x
    x = 48,272,423.91/10,468.78
  6. Step 6: Final answer
    x = 4,611.08

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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.