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Finding the Fourth Proportional to 12,315.83, 18,475.11 and 4,524.66

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Solution

The fourth proportional to 12,315.83, 18,475.11 and 4,524.66 is: 6,787.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,315.83 : 18,475.11 = 4,524.66 : x
  2. Step 2: Convert to fraction form
    12,315.83/18,475.11 = 4,524.66/x
  3. Step 3: Cross multiply
    12,315.83x = 18,475.11 × 4,524.66
  4. Step 4: Simplify right side
    12,315.83x = 83,593,591.21
  5. Step 5: Solve for x
    x = 83,593,591.21/12,315.83
  6. Step 6: Final answer
    x = 6,787.49

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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.