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Finding the Fourth Proportional to 11,587.76, 15,991.07 and 6,282.57

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Solution

The fourth proportional to 11,587.76, 15,991.07 and 6,282.57 is: 8,669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587.76 : 15,991.07 = 6,282.57 : x
  2. Step 2: Convert to fraction form
    11,587.76/15,991.07 = 6,282.57/x
  3. Step 3: Cross multiply
    11,587.76x = 15,991.07 × 6,282.57
  4. Step 4: Simplify right side
    11,587.76x = 100,465,016.65
  5. Step 5: Solve for x
    x = 100,465,016.65/11,587.76
  6. Step 6: Final answer
    x = 8,669.93

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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.