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Finding the Fourth Proportional to 7,781.94, 11,671.02 and 2,587.14

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Solution

The fourth proportional to 7,781.94, 11,671.02 and 2,587.14 is: 3,880.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.94 : 11,671.02 = 2,587.14 : x
  2. Step 2: Convert to fraction form
    7,781.94/11,671.02 = 2,587.14/x
  3. Step 3: Cross multiply
    7,781.94x = 11,671.02 × 2,587.14
  4. Step 4: Simplify right side
    7,781.94x = 30,194,562.68
  5. Step 5: Solve for x
    x = 30,194,562.68/7,781.94
  6. Step 6: Final answer
    x = 3,880.08

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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.