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Finding the Fourth Proportional to 8,691.76, 13,037.50 and 3,497.50

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Solution

The fourth proportional to 8,691.76, 13,037.50 and 3,497.50 is: 5,246.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,691.76 : 13,037.50 = 3,497.50 : x
  2. Step 2: Convert to fraction form
    8,691.76/13,037.50 = 3,497.50/x
  3. Step 3: Cross multiply
    8,691.76x = 13,037.50 × 3,497.50
  4. Step 4: Simplify right side
    8,691.76x = 45,598,656.25
  5. Step 5: Solve for x
    x = 45,598,656.25/8,691.76
  6. Step 6: Final answer
    x = 5,246.19

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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.