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Finding the Fourth Proportional to 7,758.17, 10,706.48 and 4,221.60

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Solution

The fourth proportional to 7,758.17, 10,706.48 and 4,221.60 is: 5,825.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.17 : 10,706.48 = 4,221.60 : x
  2. Step 2: Convert to fraction form
    7,758.17/10,706.48 = 4,221.60/x
  3. Step 3: Cross multiply
    7,758.17x = 10,706.48 × 4,221.60
  4. Step 4: Simplify right side
    7,758.17x = 45,198,475.97
  5. Step 5: Solve for x
    x = 45,198,475.97/7,758.17
  6. Step 6: Final answer
    x = 5,825.92

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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.