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Finding the Fourth Proportional to 6,906.68, 10,356.60 and 5,587.16

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Solution

The fourth proportional to 6,906.68, 10,356.60 and 5,587.16 is: 8,377.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.68 : 10,356.60 = 5,587.16 : x
  2. Step 2: Convert to fraction form
    6,906.68/10,356.60 = 5,587.16/x
  3. Step 3: Cross multiply
    6,906.68x = 10,356.60 × 5,587.16
  4. Step 4: Simplify right side
    6,906.68x = 57,863,981.26
  5. Step 5: Solve for x
    x = 57,863,981.26/6,906.68
  6. Step 6: Final answer
    x = 8,377.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.