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Finding the Fourth Proportional to 10,563.87, 15,845.28 and 3,543.98

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Solution

The fourth proportional to 10,563.87, 15,845.28 and 3,543.98 is: 5,315.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.87 : 15,845.28 = 3,543.98 : x
  2. Step 2: Convert to fraction form
    10,563.87/15,845.28 = 3,543.98/x
  3. Step 3: Cross multiply
    10,563.87x = 15,845.28 × 3,543.98
  4. Step 4: Simplify right side
    10,563.87x = 56,155,276.19
  5. Step 5: Solve for x
    x = 56,155,276.19/10,563.87
  6. Step 6: Final answer
    x = 5,315.79

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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.