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Finding the Fourth Proportional to 10,591.60, 15,893.88 and 4,354.60

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Solution

The fourth proportional to 10,591.60, 15,893.88 and 4,354.60 is: 6,534.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.60 : 15,893.88 = 4,354.60 : x
  2. Step 2: Convert to fraction form
    10,591.60/15,893.88 = 4,354.60/x
  3. Step 3: Cross multiply
    10,591.60x = 15,893.88 × 4,354.60
  4. Step 4: Simplify right side
    10,591.60x = 69,211,489.85
  5. Step 5: Solve for x
    x = 69,211,489.85/10,591.60
  6. Step 6: Final answer
    x = 6,534.56

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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.