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Finding the Fourth Proportional to 8,040.48, 11,071.76 and 6,711.90

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Solution

The fourth proportional to 8,040.48, 11,071.76 and 6,711.90 is: 9,242.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,040.48 : 11,071.76 = 6,711.90 : x
  2. Step 2: Convert to fraction form
    8,040.48/11,071.76 = 6,711.90/x
  3. Step 3: Cross multiply
    8,040.48x = 11,071.76 × 6,711.90
  4. Step 4: Simplify right side
    8,040.48x = 74,312,512.38
  5. Step 5: Solve for x
    x = 74,312,512.38/8,040.48
  6. Step 6: Final answer
    x = 9,242.30

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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.