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Finding the Fourth Proportional to 7,706.16, 10,630.17 and 4,872.66

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Solution

The fourth proportional to 7,706.16, 10,630.17 and 4,872.66 is: 6,721.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.16 : 10,630.17 = 4,872.66 : x
  2. Step 2: Convert to fraction form
    7,706.16/10,630.17 = 4,872.66/x
  3. Step 3: Cross multiply
    7,706.16x = 10,630.17 × 4,872.66
  4. Step 4: Simplify right side
    7,706.16x = 51,797,204.15
  5. Step 5: Solve for x
    x = 51,797,204.15/7,706.16
  6. Step 6: Final answer
    x = 6,721.53

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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.