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Finding the Fourth Proportional to 7,187.84, 10,781.40 and 2,508.92

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Solution

The fourth proportional to 7,187.84, 10,781.40 and 2,508.92 is: 3,763.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.84 : 10,781.40 = 2,508.92 : x
  2. Step 2: Convert to fraction form
    7,187.84/10,781.40 = 2,508.92/x
  3. Step 3: Cross multiply
    7,187.84x = 10,781.40 × 2,508.92
  4. Step 4: Simplify right side
    7,187.84x = 27,049,670.09
  5. Step 5: Solve for x
    x = 27,049,670.09/7,187.84
  6. Step 6: Final answer
    x = 3,763.25

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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.