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Finding the Fourth Proportional to 11,427.86, 15,772.17 and 6,581.69

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Solution

The fourth proportional to 11,427.86, 15,772.17 and 6,581.69 is: 9,083.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,427.86 : 15,772.17 = 6,581.69 : x
  2. Step 2: Convert to fraction form
    11,427.86/15,772.17 = 6,581.69/x
  3. Step 3: Cross multiply
    11,427.86x = 15,772.17 × 6,581.69
  4. Step 4: Simplify right side
    11,427.86x = 103,807,454.36
  5. Step 5: Solve for x
    x = 103,807,454.36/11,427.86
  6. Step 6: Final answer
    x = 9,083.72

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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.