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Finding the Fourth Proportional to 9,016.76, 13,470.46 and 7,540.64

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Solution

The fourth proportional to 9,016.76, 13,470.46 and 7,540.64 is: 11,265.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,016.76 : 13,470.46 = 7,540.64 : x
  2. Step 2: Convert to fraction form
    9,016.76/13,470.46 = 7,540.64/x
  3. Step 3: Cross multiply
    9,016.76x = 13,470.46 × 7,540.64
  4. Step 4: Simplify right side
    9,016.76x = 101,575,889.49
  5. Step 5: Solve for x
    x = 101,575,889.49/9,016.76
  6. Step 6: Final answer
    x = 11,265.23

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Why These Related Problems?

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