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Finding the Fourth Proportional to 10,366.76, 15,550.32 and 2,575.64

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Solution

The fourth proportional to 10,366.76, 15,550.32 and 2,575.64 is: 3,863.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.76 : 15,550.32 = 2,575.64 : x
  2. Step 2: Convert to fraction form
    10,366.76/15,550.32 = 2,575.64/x
  3. Step 3: Cross multiply
    10,366.76x = 15,550.32 × 2,575.64
  4. Step 4: Simplify right side
    10,366.76x = 40,052,026.20
  5. Step 5: Solve for x
    x = 40,052,026.20/10,366.76
  6. Step 6: Final answer
    x = 3,863.50

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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.