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Finding the Fourth Proportional to 10,178.96, 15,256.12 and 5,245.90

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Solution

The fourth proportional to 10,178.96, 15,256.12 and 5,245.90 is: 7,862.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,178.96 : 15,256.12 = 5,245.90 : x
  2. Step 2: Convert to fraction form
    10,178.96/15,256.12 = 5,245.90/x
  3. Step 3: Cross multiply
    10,178.96x = 15,256.12 × 5,245.90
  4. Step 4: Simplify right side
    10,178.96x = 80,032,079.91
  5. Step 5: Solve for x
    x = 80,032,079.91/10,178.96
  6. Step 6: Final answer
    x = 7,862.50

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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.