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Finding the Fourth Proportional to 7,720.98, 10,654.89 and 4,578.66

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Solution

The fourth proportional to 7,720.98, 10,654.89 and 4,578.66 is: 6,318.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.98 : 10,654.89 = 4,578.66 : x
  2. Step 2: Convert to fraction form
    7,720.98/10,654.89 = 4,578.66/x
  3. Step 3: Cross multiply
    7,720.98x = 10,654.89 × 4,578.66
  4. Step 4: Simplify right side
    7,720.98x = 48,785,118.65
  5. Step 5: Solve for x
    x = 48,785,118.65/7,720.98
  6. Step 6: Final answer
    x = 6,318.51

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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.