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Finding the Fourth Proportional to 11,534.60, 15,917.92 and 6,757.83

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Solution

The fourth proportional to 11,534.60, 15,917.92 and 6,757.83 is: 9,325.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,534.60 : 15,917.92 = 6,757.83 : x
  2. Step 2: Convert to fraction form
    11,534.60/15,917.92 = 6,757.83/x
  3. Step 3: Cross multiply
    11,534.60x = 15,917.92 × 6,757.83
  4. Step 4: Simplify right side
    11,534.60x = 107,570,580.42
  5. Step 5: Solve for x
    x = 107,570,580.42/11,534.60
  6. Step 6: Final answer
    x = 9,325.90

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