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Finding the Fourth Proportional to 11,587.76, 15,990.96 and 6,282.56

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Solution

The fourth proportional to 11,587.76, 15,990.96 and 6,282.56 is: 8,669.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587.76 : 15,990.96 = 6,282.56 : x
  2. Step 2: Convert to fraction form
    11,587.76/15,990.96 = 6,282.56/x
  3. Step 3: Cross multiply
    11,587.76x = 15,990.96 × 6,282.56
  4. Step 4: Simplify right side
    11,587.76x = 100,464,165.66
  5. Step 5: Solve for x
    x = 100,464,165.66/11,587.76
  6. Step 6: Final answer
    x = 8,669.85

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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.