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Finding the Fourth Proportional to 7,891.74, 10,880.34 and 6,470.16

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Solution

The fourth proportional to 7,891.74, 10,880.34 and 6,470.16 is: 8,920.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.74 : 10,880.34 = 6,470.16 : x
  2. Step 2: Convert to fraction form
    7,891.74/10,880.34 = 6,470.16/x
  3. Step 3: Cross multiply
    7,891.74x = 10,880.34 × 6,470.16
  4. Step 4: Simplify right side
    7,891.74x = 70,397,540.65
  5. Step 5: Solve for x
    x = 70,397,540.65/7,891.74
  6. Step 6: Final answer
    x = 8,920.41

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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.