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Finding the Fourth Proportional to 10,149.08, 14,004.78 and 5,956.52

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Solution

The fourth proportional to 10,149.08, 14,004.78 and 5,956.52 is: 8,219.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.08 : 14,004.78 = 5,956.52 : x
  2. Step 2: Convert to fraction form
    10,149.08/14,004.78 = 5,956.52/x
  3. Step 3: Cross multiply
    10,149.08x = 14,004.78 × 5,956.52
  4. Step 4: Simplify right side
    10,149.08x = 83,419,752.17
  5. Step 5: Solve for x
    x = 83,419,752.17/10,149.08
  6. Step 6: Final answer
    x = 8,219.44

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