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Finding the Fourth Proportional to 7,702.97, 10,630.10 and 4,166.18

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Solution

The fourth proportional to 7,702.97, 10,630.10 and 4,166.18 is: 5,749.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.97 : 10,630.10 = 4,166.18 : x
  2. Step 2: Convert to fraction form
    7,702.97/10,630.10 = 4,166.18/x
  3. Step 3: Cross multiply
    7,702.97x = 10,630.10 × 4,166.18
  4. Step 4: Simplify right side
    7,702.97x = 44,286,910.02
  5. Step 5: Solve for x
    x = 44,286,910.02/7,702.97
  6. Step 6: Final answer
    x = 5,749.33

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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.