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Finding the Fourth Proportional to 8,182.32, 12,264.66 and 4,017.48

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Solution

The fourth proportional to 8,182.32, 12,264.66 and 4,017.48 is: 6,021.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.32 : 12,264.66 = 4,017.48 : x
  2. Step 2: Convert to fraction form
    8,182.32/12,264.66 = 4,017.48/x
  3. Step 3: Cross multiply
    8,182.32x = 12,264.66 × 4,017.48
  4. Step 4: Simplify right side
    8,182.32x = 49,273,026.26
  5. Step 5: Solve for x
    x = 49,273,026.26/8,182.32
  6. Step 6: Final answer
    x = 6,021.89

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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.