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Finding the Fourth Proportional to 7,702.89, 10,632.62 and 4,517.20

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Solution

The fourth proportional to 7,702.89, 10,632.62 and 4,517.20 is: 6,235.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.89 : 10,632.62 = 4,517.20 : x
  2. Step 2: Convert to fraction form
    7,702.89/10,632.62 = 4,517.20/x
  3. Step 3: Cross multiply
    7,702.89x = 10,632.62 × 4,517.20
  4. Step 4: Simplify right side
    7,702.89x = 48,029,671.06
  5. Step 5: Solve for x
    x = 48,029,671.06/7,702.89
  6. Step 6: Final answer
    x = 6,235.28

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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.