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Finding the Fourth Proportional to 11,853.12, 17,780.16 and 6,008.16

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Solution

The fourth proportional to 11,853.12, 17,780.16 and 6,008.16 is: 9,012.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.12 : 17,780.16 = 6,008.16 : x
  2. Step 2: Convert to fraction form
    11,853.12/17,780.16 = 6,008.16/x
  3. Step 3: Cross multiply
    11,853.12x = 17,780.16 × 6,008.16
  4. Step 4: Simplify right side
    11,853.12x = 106,826,046.11
  5. Step 5: Solve for x
    x = 106,826,046.11/11,853.12
  6. Step 6: Final answer
    x = 9,012.48

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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.