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Finding the Fourth Proportional to 12,311.47, 16,987.85 and 7,006.38

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Solution

The fourth proportional to 12,311.47, 16,987.85 and 7,006.38 is: 9,667.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.47 : 16,987.85 = 7,006.38 : x
  2. Step 2: Convert to fraction form
    12,311.47/16,987.85 = 7,006.38/x
  3. Step 3: Cross multiply
    12,311.47x = 16,987.85 × 7,006.38
  4. Step 4: Simplify right side
    12,311.47x = 119,023,247.54
  5. Step 5: Solve for x
    x = 119,023,247.54/12,311.47
  6. Step 6: Final answer
    x = 9,667.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.