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Finding the Fourth Proportional to 8,048.67, 12,068.55 and 2,781.24

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Solution

The fourth proportional to 8,048.67, 12,068.55 and 2,781.24 is: 4,170.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048.67 : 12,068.55 = 2,781.24 : x
  2. Step 2: Convert to fraction form
    8,048.67/12,068.55 = 2,781.24/x
  3. Step 3: Cross multiply
    8,048.67x = 12,068.55 × 2,781.24
  4. Step 4: Simplify right side
    8,048.67x = 33,565,534.00
  5. Step 5: Solve for x
    x = 33,565,534.00/8,048.67
  6. Step 6: Final answer
    x = 4,170.32

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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.