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Finding the Fourth Proportional to 8,489.31, 11,715.35 and 4,712.55

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Solution

The fourth proportional to 8,489.31, 11,715.35 and 4,712.55 is: 6,503.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.31 : 11,715.35 = 4,712.55 : x
  2. Step 2: Convert to fraction form
    8,489.31/11,715.35 = 4,712.55/x
  3. Step 3: Cross multiply
    8,489.31x = 11,715.35 × 4,712.55
  4. Step 4: Simplify right side
    8,489.31x = 55,209,172.64
  5. Step 5: Solve for x
    x = 55,209,172.64/8,489.31
  6. Step 6: Final answer
    x = 6,503.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.