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Finding the Fourth Proportional to 8,385, 12,570.30 and 3,187.24

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Solution

The fourth proportional to 8,385, 12,570.30 and 3,187.24 is: 4,778.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385 : 12,570.30 = 3,187.24 : x
  2. Step 2: Convert to fraction form
    8,385/12,570.30 = 3,187.24/x
  3. Step 3: Cross multiply
    8,385x = 12,570.30 × 3,187.24
  4. Step 4: Simplify right side
    8,385x = 40,064,562.97
  5. Step 5: Solve for x
    x = 40,064,562.97/8,385
  6. Step 6: Final answer
    x = 4,778.12

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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.