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Finding the Fourth Proportional to 11,587.56, 15,990.90 and 6,282.42

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Solution

The fourth proportional to 11,587.56, 15,990.90 and 6,282.42 is: 8,669.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587.56 : 15,990.90 = 6,282.42 : x
  2. Step 2: Convert to fraction form
    11,587.56/15,990.90 = 6,282.42/x
  3. Step 3: Cross multiply
    11,587.56x = 15,990.90 × 6,282.42
  4. Step 4: Simplify right side
    11,587.56x = 100,461,549.98
  5. Step 5: Solve for x
    x = 100,461,549.98/11,587.56
  6. Step 6: Final answer
    x = 8,669.78

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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.