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Finding the Fourth Proportional to 7,148.68, 10,718.46 and 4,227.88

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Solution

The fourth proportional to 7,148.68, 10,718.46 and 4,227.88 is: 6,339.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.68 : 10,718.46 = 4,227.88 : x
  2. Step 2: Convert to fraction form
    7,148.68/10,718.46 = 4,227.88/x
  3. Step 3: Cross multiply
    7,148.68x = 10,718.46 × 4,227.88
  4. Step 4: Simplify right side
    7,148.68x = 45,316,362.66
  5. Step 5: Solve for x
    x = 45,316,362.66/7,148.68
  6. Step 6: Final answer
    x = 6,339.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.