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Finding the Fourth Proportional to 8,780.86, 13,165.12 and 3,233.50

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Solution

The fourth proportional to 8,780.86, 13,165.12 and 3,233.50 is: 4,847.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,780.86 : 13,165.12 = 3,233.50 : x
  2. Step 2: Convert to fraction form
    8,780.86/13,165.12 = 3,233.50/x
  3. Step 3: Cross multiply
    8,780.86x = 13,165.12 × 3,233.50
  4. Step 4: Simplify right side
    8,780.86x = 42,569,374.52
  5. Step 5: Solve for x
    x = 42,569,374.52/8,780.86
  6. Step 6: Final answer
    x = 4,847.97

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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.