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Finding the Fourth Proportional to 11,587.64, 15,990.92 and 6,282.44

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Solution

The fourth proportional to 11,587.64, 15,990.92 and 6,282.44 is: 8,669.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587.64 : 15,990.92 = 6,282.44 : x
  2. Step 2: Convert to fraction form
    11,587.64/15,990.92 = 6,282.44/x
  3. Step 3: Cross multiply
    11,587.64x = 15,990.92 × 6,282.44
  4. Step 4: Simplify right side
    11,587.64x = 100,461,995.44
  5. Step 5: Solve for x
    x = 100,461,995.44/11,587.64
  6. Step 6: Final answer
    x = 8,669.75

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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.