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Finding the Fourth Proportional to 10,462.25, 15,695.81 and 3,536.75

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Solution

The fourth proportional to 10,462.25, 15,695.81 and 3,536.75 is: 5,305.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.25 : 15,695.81 = 3,536.75 : x
  2. Step 2: Convert to fraction form
    10,462.25/15,695.81 = 3,536.75/x
  3. Step 3: Cross multiply
    10,462.25x = 15,695.81 × 3,536.75
  4. Step 4: Simplify right side
    10,462.25x = 55,512,156.02
  5. Step 5: Solve for x
    x = 55,512,156.02/10,462.25
  6. Step 6: Final answer
    x = 5,305.95

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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.