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Finding the Fourth Proportional to 8,411.20, 12,598.44 and 6,933.76

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Solution

The fourth proportional to 8,411.20, 12,598.44 and 6,933.76 is: 10,385.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.20 : 12,598.44 = 6,933.76 : x
  2. Step 2: Convert to fraction form
    8,411.20/12,598.44 = 6,933.76/x
  3. Step 3: Cross multiply
    8,411.20x = 12,598.44 × 6,933.76
  4. Step 4: Simplify right side
    8,411.20x = 87,354,559.33
  5. Step 5: Solve for x
    x = 87,354,559.33/8,411.20
  6. Step 6: Final answer
    x = 10,385.50

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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.