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Finding the Fourth Proportional to 11,587.47, 15,990.74 and 6,282.32

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Solution

The fourth proportional to 11,587.47, 15,990.74 and 6,282.32 is: 8,669.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587.47 : 15,990.74 = 6,282.32 : x
  2. Step 2: Convert to fraction form
    11,587.47/15,990.74 = 6,282.32/x
  3. Step 3: Cross multiply
    11,587.47x = 15,990.74 × 6,282.32
  4. Step 4: Simplify right side
    11,587.47x = 100,458,834.35
  5. Step 5: Solve for x
    x = 100,458,834.35/11,587.47
  6. Step 6: Final answer
    x = 8,669.61

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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.