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Finding the Fourth Proportional to 7,713.74, 10,645.36 and 5,062.70

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Solution

The fourth proportional to 7,713.74, 10,645.36 and 5,062.70 is: 6,986.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.74 : 10,645.36 = 5,062.70 : x
  2. Step 2: Convert to fraction form
    7,713.74/10,645.36 = 5,062.70/x
  3. Step 3: Cross multiply
    7,713.74x = 10,645.36 × 5,062.70
  4. Step 4: Simplify right side
    7,713.74x = 53,894,198.19
  5. Step 5: Solve for x
    x = 53,894,198.19/7,713.74
  6. Step 6: Final answer
    x = 6,986.78

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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.