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Finding the Fourth Proportional to 7,718.40, 10,195.20 and 7,718.40

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Solution

The fourth proportional to 7,718.40, 10,195.20 and 7,718.40 is: 10,195.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718.40 : 10,195.20 = 7,718.40 : x
  2. Step 2: Convert to fraction form
    7,718.40/10,195.20 = 7,718.40/x
  3. Step 3: Cross multiply
    7,718.40x = 10,195.20 × 7,718.40
  4. Step 4: Simplify right side
    7,718.40x = 78,690,631.68
  5. Step 5: Solve for x
    x = 78,690,631.68/7,718.40
  6. Step 6: Final answer
    x = 10,195.20

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.