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Finding the Fourth Proportional to 10,528.75, 15,785.97 and 7,197.58

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Solution

The fourth proportional to 10,528.75, 15,785.97 and 7,197.58 is: 10,791.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,528.75 : 15,785.97 = 7,197.58 : x
  2. Step 2: Convert to fraction form
    10,528.75/15,785.97 = 7,197.58/x
  3. Step 3: Cross multiply
    10,528.75x = 15,785.97 × 7,197.58
  4. Step 4: Simplify right side
    10,528.75x = 113,620,781.95
  5. Step 5: Solve for x
    x = 113,620,781.95/10,528.75
  6. Step 6: Final answer
    x = 10,791.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.