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Finding the Fourth Proportional to 8,778.47, 12,129.75 and 6,506.56

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Solution

The fourth proportional to 8,778.47, 12,129.75 and 6,506.56 is: 8,990.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,778.47 : 12,129.75 = 6,506.56 : x
  2. Step 2: Convert to fraction form
    8,778.47/12,129.75 = 6,506.56/x
  3. Step 3: Cross multiply
    8,778.47x = 12,129.75 × 6,506.56
  4. Step 4: Simplify right side
    8,778.47x = 78,922,915.84
  5. Step 5: Solve for x
    x = 78,922,915.84/8,778.47
  6. Step 6: Final answer
    x = 8,990.51

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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.