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Finding the Fourth Proportional to 10,638.52, 15,958.87 and 4,070.23

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Solution

The fourth proportional to 10,638.52, 15,958.87 and 4,070.23 is: 6,105.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.52 : 15,958.87 = 4,070.23 : x
  2. Step 2: Convert to fraction form
    10,638.52/15,958.87 = 4,070.23/x
  3. Step 3: Cross multiply
    10,638.52x = 15,958.87 × 4,070.23
  4. Step 4: Simplify right side
    10,638.52x = 64,956,221.37
  5. Step 5: Solve for x
    x = 64,956,221.37/10,638.52
  6. Step 6: Final answer
    x = 6,105.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.