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Finding the Fourth Proportional to 7,708.19, 10,627.70 and 6,433.92

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Solution

The fourth proportional to 7,708.19, 10,627.70 and 6,433.92 is: 8,870.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.19 : 10,627.70 = 6,433.92 : x
  2. Step 2: Convert to fraction form
    7,708.19/10,627.70 = 6,433.92/x
  3. Step 3: Cross multiply
    7,708.19x = 10,627.70 × 6,433.92
  4. Step 4: Simplify right side
    7,708.19x = 68,377,739.41
  5. Step 5: Solve for x
    x = 68,377,739.41/7,708.19
  6. Step 6: Final answer
    x = 8,870.80

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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.