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Finding the Fourth Proportional to 11,511.77, 15,872.51 and 8,155.13

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Solution

The fourth proportional to 11,511.77, 15,872.51 and 8,155.13 is: 11,244.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,511.77 : 15,872.51 = 8,155.13 : x
  2. Step 2: Convert to fraction form
    11,511.77/15,872.51 = 8,155.13/x
  3. Step 3: Cross multiply
    11,511.77x = 15,872.51 × 8,155.13
  4. Step 4: Simplify right side
    11,511.77x = 129,442,341.70
  5. Step 5: Solve for x
    x = 129,442,341.70/11,511.77
  6. Step 6: Final answer
    x = 11,244.35

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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.