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Finding the Fourth Proportional to 8,038, 12,060.45 and 4,145.14

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Solution

The fourth proportional to 8,038, 12,060.45 and 4,145.14 is: 6,219.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038 : 12,060.45 = 4,145.14 : x
  2. Step 2: Convert to fraction form
    8,038/12,060.45 = 4,145.14/x
  3. Step 3: Cross multiply
    8,038x = 12,060.45 × 4,145.14
  4. Step 4: Simplify right side
    8,038x = 49,992,232.99
  5. Step 5: Solve for x
    x = 49,992,232.99/8,038
  6. Step 6: Final answer
    x = 6,219.49

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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.