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Finding the Fourth Proportional to 7,659.65, 10,570.04 and 4,680.47

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Solution

The fourth proportional to 7,659.65, 10,570.04 and 4,680.47 is: 6,458.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,659.65 : 10,570.04 = 4,680.47 : x
  2. Step 2: Convert to fraction form
    7,659.65/10,570.04 = 4,680.47/x
  3. Step 3: Cross multiply
    7,659.65x = 10,570.04 × 4,680.47
  4. Step 4: Simplify right side
    7,659.65x = 49,472,755.12
  5. Step 5: Solve for x
    x = 49,472,755.12/7,659.65
  6. Step 6: Final answer
    x = 6,458.88

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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.