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Finding the Fourth Proportional to 10,006.20, 14,996.52 and 4,741.20

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Solution

The fourth proportional to 10,006.20, 14,996.52 and 4,741.20 is: 7,105.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.20 : 14,996.52 = 4,741.20 : x
  2. Step 2: Convert to fraction form
    10,006.20/14,996.52 = 4,741.20/x
  3. Step 3: Cross multiply
    10,006.20x = 14,996.52 × 4,741.20
  4. Step 4: Simplify right side
    10,006.20x = 71,101,500.62
  5. Step 5: Solve for x
    x = 71,101,500.62/10,006.20
  6. Step 6: Final answer
    x = 7,105.74

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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.