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Finding the Fourth Proportional to 8,275.03, 12,474.56 and 7,725.13

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Solution

The fourth proportional to 8,275.03, 12,474.56 and 7,725.13 is: 11,645.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.03 : 12,474.56 = 7,725.13 : x
  2. Step 2: Convert to fraction form
    8,275.03/12,474.56 = 7,725.13/x
  3. Step 3: Cross multiply
    8,275.03x = 12,474.56 × 7,725.13
  4. Step 4: Simplify right side
    8,275.03x = 96,367,597.69
  5. Step 5: Solve for x
    x = 96,367,597.69/8,275.03
  6. Step 6: Final answer
    x = 11,645.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.