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Finding the Fourth Proportional to 8,865.66, 13,284.06 and 5,171.04

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Solution

The fourth proportional to 8,865.66, 13,284.06 and 5,171.04 is: 7,748.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,865.66 : 13,284.06 = 5,171.04 : x
  2. Step 2: Convert to fraction form
    8,865.66/13,284.06 = 5,171.04/x
  3. Step 3: Cross multiply
    8,865.66x = 13,284.06 × 5,171.04
  4. Step 4: Simplify right side
    8,865.66x = 68,692,405.62
  5. Step 5: Solve for x
    x = 68,692,405.62/8,865.66
  6. Step 6: Final answer
    x = 7,748.14

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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.