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Finding the Fourth Proportional to 6,934.68, 10,402.02 and 5,496.12

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Solution

The fourth proportional to 6,934.68, 10,402.02 and 5,496.12 is: 8,244.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.68 : 10,402.02 = 5,496.12 : x
  2. Step 2: Convert to fraction form
    6,934.68/10,402.02 = 5,496.12/x
  3. Step 3: Cross multiply
    6,934.68x = 10,402.02 × 5,496.12
  4. Step 4: Simplify right side
    6,934.68x = 57,170,750.16
  5. Step 5: Solve for x
    x = 57,170,750.16/6,934.68
  6. Step 6: Final answer
    x = 8,244.18

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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.