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Finding the Fourth Proportional to 7,870.68, 10,851.45 and 6,449.13

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Solution

The fourth proportional to 7,870.68, 10,851.45 and 6,449.13 is: 8,891.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.68 : 10,851.45 = 6,449.13 : x
  2. Step 2: Convert to fraction form
    7,870.68/10,851.45 = 6,449.13/x
  3. Step 3: Cross multiply
    7,870.68x = 10,851.45 × 6,449.13
  4. Step 4: Simplify right side
    7,870.68x = 69,982,411.74
  5. Step 5: Solve for x
    x = 69,982,411.74/7,870.68
  6. Step 6: Final answer
    x = 8,891.53

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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.