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Finding the Fourth Proportional to 10,363.86, 15,532.77 and 4,433.78

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Solution

The fourth proportional to 10,363.86, 15,532.77 and 4,433.78 is: 6,645.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,363.86 : 15,532.77 = 4,433.78 : x
  2. Step 2: Convert to fraction form
    10,363.86/15,532.77 = 4,433.78/x
  3. Step 3: Cross multiply
    10,363.86x = 15,532.77 × 4,433.78
  4. Step 4: Simplify right side
    10,363.86x = 68,868,807.31
  5. Step 5: Solve for x
    x = 68,868,807.31/10,363.86
  6. Step 6: Final answer
    x = 6,645.09

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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.