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Finding the Fourth Proportional to 8,073.60, 12,111.82 and 3,691.50

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Solution

The fourth proportional to 8,073.60, 12,111.82 and 3,691.50 is: 5,537.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,073.60 : 12,111.82 = 3,691.50 : x
  2. Step 2: Convert to fraction form
    8,073.60/12,111.82 = 3,691.50/x
  3. Step 3: Cross multiply
    8,073.60x = 12,111.82 × 3,691.50
  4. Step 4: Simplify right side
    8,073.60x = 44,710,783.53
  5. Step 5: Solve for x
    x = 44,710,783.53/8,073.60
  6. Step 6: Final answer
    x = 5,537.90

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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.