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Finding the Fourth Proportional to 11,488.82, 15,854.51 and 6,453.12

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Solution

The fourth proportional to 11,488.82, 15,854.51 and 6,453.12 is: 8,905.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,488.82 : 15,854.51 = 6,453.12 : x
  2. Step 2: Convert to fraction form
    11,488.82/15,854.51 = 6,453.12/x
  3. Step 3: Cross multiply
    11,488.82x = 15,854.51 × 6,453.12
  4. Step 4: Simplify right side
    11,488.82x = 102,311,071.70
  5. Step 5: Solve for x
    x = 102,311,071.70/11,488.82
  6. Step 6: Final answer
    x = 8,905.27

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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.