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Finding the Fourth Proportional to 6,711.54, 9,266.31 and 4,360.38

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Solution

The fourth proportional to 6,711.54, 9,266.31 and 4,360.38 is: 6,020.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.54 : 9,266.31 = 4,360.38 : x
  2. Step 2: Convert to fraction form
    6,711.54/9,266.31 = 4,360.38/x
  3. Step 3: Cross multiply
    6,711.54x = 9,266.31 × 4,360.38
  4. Step 4: Simplify right side
    6,711.54x = 40,404,632.80
  5. Step 5: Solve for x
    x = 40,404,632.80/6,711.54
  6. Step 6: Final answer
    x = 6,020.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.