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Finding the Fourth Proportional to 6,711.32, 10,017.89 and 6,223.43

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Solution

The fourth proportional to 6,711.32, 10,017.89 and 6,223.43 is: 9,289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.32 : 10,017.89 = 6,223.43 : x
  2. Step 2: Convert to fraction form
    6,711.32/10,017.89 = 6,223.43/x
  3. Step 3: Cross multiply
    6,711.32x = 10,017.89 × 6,223.43
  4. Step 4: Simplify right side
    6,711.32x = 62,345,555.96
  5. Step 5: Solve for x
    x = 62,345,555.96/6,711.32
  6. Step 6: Final answer
    x = 9,289.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.