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Finding the Fourth Proportional to 11,488.56, 15,854.32 and 6,453.84

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Solution

The fourth proportional to 11,488.56, 15,854.32 and 6,453.84 is: 8,906.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,488.56 : 15,854.32 = 6,453.84 : x
  2. Step 2: Convert to fraction form
    11,488.56/15,854.32 = 6,453.84/x
  3. Step 3: Cross multiply
    11,488.56x = 15,854.32 × 6,453.84
  4. Step 4: Simplify right side
    11,488.56x = 102,321,244.59
  5. Step 5: Solve for x
    x = 102,321,244.59/11,488.56
  6. Step 6: Final answer
    x = 8,906.36

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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.