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Finding the Fourth Proportional to 10,591.40, 15,876.01 and 3,568.98

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Solution

The fourth proportional to 10,591.40, 15,876.01 and 3,568.98 is: 5,349.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.40 : 15,876.01 = 3,568.98 : x
  2. Step 2: Convert to fraction form
    10,591.40/15,876.01 = 3,568.98/x
  3. Step 3: Cross multiply
    10,591.40x = 15,876.01 × 3,568.98
  4. Step 4: Simplify right side
    10,591.40x = 56,661,162.17
  5. Step 5: Solve for x
    x = 56,661,162.17/10,591.40
  6. Step 6: Final answer
    x = 5,349.73

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Why These Related Problems?

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