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Finding the Fourth Proportional to 7,711.70, 10,632.20 and 6,293.93

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Solution

The fourth proportional to 7,711.70, 10,632.20 and 6,293.93 is: 8,677.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.70 : 10,632.20 = 6,293.93 : x
  2. Step 2: Convert to fraction form
    7,711.70/10,632.20 = 6,293.93/x
  3. Step 3: Cross multiply
    7,711.70x = 10,632.20 × 6,293.93
  4. Step 4: Simplify right side
    7,711.70x = 66,918,237.92
  5. Step 5: Solve for x
    x = 66,918,237.92/7,711.70
  6. Step 6: Final answer
    x = 8,677.50

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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.