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Finding the Fourth Proportional to 10,517.16, 15,770.16 and 6,135.96

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Solution

The fourth proportional to 10,517.16, 15,770.16 and 6,135.96 is: 9,200.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517.16 : 15,770.16 = 6,135.96 : x
  2. Step 2: Convert to fraction form
    10,517.16/15,770.16 = 6,135.96/x
  3. Step 3: Cross multiply
    10,517.16x = 15,770.16 × 6,135.96
  4. Step 4: Simplify right side
    10,517.16x = 96,765,070.95
  5. Step 5: Solve for x
    x = 96,765,070.95/10,517.16
  6. Step 6: Final answer
    x = 9,200.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.