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Finding the Fourth Proportional to 10,591.42, 15,887.24 and 3,195.94

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Solution

The fourth proportional to 10,591.42, 15,887.24 and 3,195.94 is: 4,793.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.42 : 15,887.24 = 3,195.94 : x
  2. Step 2: Convert to fraction form
    10,591.42/15,887.24 = 3,195.94/x
  3. Step 3: Cross multiply
    10,591.42x = 15,887.24 × 3,195.94
  4. Step 4: Simplify right side
    10,591.42x = 50,774,681.67
  5. Step 5: Solve for x
    x = 50,774,681.67/10,591.42
  6. Step 6: Final answer
    x = 4,793.95

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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.