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Finding the Fourth Proportional to 10,886.25, 15,023.03 and 6,170.57

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Solution

The fourth proportional to 10,886.25, 15,023.03 and 6,170.57 is: 8,515.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,886.25 : 15,023.03 = 6,170.57 : x
  2. Step 2: Convert to fraction form
    10,886.25/15,023.03 = 6,170.57/x
  3. Step 3: Cross multiply
    10,886.25x = 15,023.03 × 6,170.57
  4. Step 4: Simplify right side
    10,886.25x = 92,700,658.23
  5. Step 5: Solve for x
    x = 92,700,658.23/10,886.25
  6. Step 6: Final answer
    x = 8,515.39

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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.