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Finding the Fourth Proportional to 7,702.29, 10,635.48 and 4,874.25

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Solution

The fourth proportional to 7,702.29, 10,635.48 and 4,874.25 is: 6,730.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.29 : 10,635.48 = 4,874.25 : x
  2. Step 2: Convert to fraction form
    7,702.29/10,635.48 = 4,874.25/x
  3. Step 3: Cross multiply
    7,702.29x = 10,635.48 × 4,874.25
  4. Step 4: Simplify right side
    7,702.29x = 51,839,988.39
  5. Step 5: Solve for x
    x = 51,839,988.39/7,702.29
  6. Step 6: Final answer
    x = 6,730.46

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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.