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Finding the Fourth Proportional to 6,711.12, 10,066.52 and 1,781.10

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Solution

The fourth proportional to 6,711.12, 10,066.52 and 1,781.10 is: 2,671.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.12 : 10,066.52 = 1,781.10 : x
  2. Step 2: Convert to fraction form
    6,711.12/10,066.52 = 1,781.10/x
  3. Step 3: Cross multiply
    6,711.12x = 10,066.52 × 1,781.10
  4. Step 4: Simplify right side
    6,711.12x = 17,929,478.77
  5. Step 5: Solve for x
    x = 17,929,478.77/6,711.12
  6. Step 6: Final answer
    x = 2,671.61

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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.