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Finding the Fourth Proportional to 10,005.12, 15,004.44 and 2,982.42

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Solution

The fourth proportional to 10,005.12, 15,004.44 and 2,982.42 is: 4,472.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.12 : 15,004.44 = 2,982.42 : x
  2. Step 2: Convert to fraction form
    10,005.12/15,004.44 = 2,982.42/x
  3. Step 3: Cross multiply
    10,005.12x = 15,004.44 × 2,982.42
  4. Step 4: Simplify right side
    10,005.12x = 44,749,541.94
  5. Step 5: Solve for x
    x = 44,749,541.94/10,005.12
  6. Step 6: Final answer
    x = 4,472.66

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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.