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Finding the Fourth Proportional to 8,877.56, 13,306.08 and 3,677

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Solution

The fourth proportional to 8,877.56, 13,306.08 and 3,677 is: 5,511.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,877.56 : 13,306.08 = 3,677 : x
  2. Step 2: Convert to fraction form
    8,877.56/13,306.08 = 3,677/x
  3. Step 3: Cross multiply
    8,877.56x = 13,306.08 × 3,677
  4. Step 4: Simplify right side
    8,877.56x = 48,926,456.16
  5. Step 5: Solve for x
    x = 48,926,456.16/8,877.56
  6. Step 6: Final answer
    x = 5,511.25

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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.