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Finding the Fourth Proportional to 7,686.97, 10,608.23 and 4,702.75

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Solution

The fourth proportional to 7,686.97, 10,608.23 and 4,702.75 is: 6,489.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.97 : 10,608.23 = 4,702.75 : x
  2. Step 2: Convert to fraction form
    7,686.97/10,608.23 = 4,702.75/x
  3. Step 3: Cross multiply
    7,686.97x = 10,608.23 × 4,702.75
  4. Step 4: Simplify right side
    7,686.97x = 49,887,853.63
  5. Step 5: Solve for x
    x = 49,887,853.63/7,686.97
  6. Step 6: Final answer
    x = 6,489.92

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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.