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Finding the Fourth Proportional to 8,032.13, 12,048.19 and 3,354.34

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Solution

The fourth proportional to 8,032.13, 12,048.19 and 3,354.34 is: 5,031.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.13 : 12,048.19 = 3,354.34 : x
  2. Step 2: Convert to fraction form
    8,032.13/12,048.19 = 3,354.34/x
  3. Step 3: Cross multiply
    8,032.13x = 12,048.19 × 3,354.34
  4. Step 4: Simplify right side
    8,032.13x = 40,413,725.64
  5. Step 5: Solve for x
    x = 40,413,725.64/8,032.13
  6. Step 6: Final answer
    x = 5,031.51

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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.