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Finding the Fourth Proportional to 6,920.53, 10,387.86 and 5,066.14

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Solution

The fourth proportional to 6,920.53, 10,387.86 and 5,066.14 is: 7,604.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.53 : 10,387.86 = 5,066.14 : x
  2. Step 2: Convert to fraction form
    6,920.53/10,387.86 = 5,066.14/x
  3. Step 3: Cross multiply
    6,920.53x = 10,387.86 × 5,066.14
  4. Step 4: Simplify right side
    6,920.53x = 52,626,301.12
  5. Step 5: Solve for x
    x = 52,626,301.12/6,920.53
  6. Step 6: Final answer
    x = 7,604.38

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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.