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Finding the Fourth Proportional to 7,711.75, 10,637.43 and 5,693.10

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Solution

The fourth proportional to 7,711.75, 10,637.43 and 5,693.10 is: 7,852.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.75 : 10,637.43 = 5,693.10 : x
  2. Step 2: Convert to fraction form
    7,711.75/10,637.43 = 5,693.10/x
  3. Step 3: Cross multiply
    7,711.75x = 10,637.43 × 5,693.10
  4. Step 4: Simplify right side
    7,711.75x = 60,559,952.73
  5. Step 5: Solve for x
    x = 60,559,952.73/7,711.75
  6. Step 6: Final answer
    x = 7,852.95

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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.