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Finding the Fourth Proportional to 7,885.61, 11,834.28 and 3,726.90

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Solution

The fourth proportional to 7,885.61, 11,834.28 and 3,726.90 is: 5,593.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885.61 : 11,834.28 = 3,726.90 : x
  2. Step 2: Convert to fraction form
    7,885.61/11,834.28 = 3,726.90/x
  3. Step 3: Cross multiply
    7,885.61x = 11,834.28 × 3,726.90
  4. Step 4: Simplify right side
    7,885.61x = 44,105,178.13
  5. Step 5: Solve for x
    x = 44,105,178.13/7,885.61
  6. Step 6: Final answer
    x = 5,593.12

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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.