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Finding the Fourth Proportional to 11,246.32, 15,523.32 and 6,531.76

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Solution

The fourth proportional to 11,246.32, 15,523.32 and 6,531.76 is: 9,015.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,246.32 : 15,523.32 = 6,531.76 : x
  2. Step 2: Convert to fraction form
    11,246.32/15,523.32 = 6,531.76/x
  3. Step 3: Cross multiply
    11,246.32x = 15,523.32 × 6,531.76
  4. Step 4: Simplify right side
    11,246.32x = 101,394,600.64
  5. Step 5: Solve for x
    x = 101,394,600.64/11,246.32
  6. Step 6: Final answer
    x = 9,015.80

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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.