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Finding the Fourth Proportional to 7,187.25, 10,780.88 and 1,993.13

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Solution

The fourth proportional to 7,187.25, 10,780.88 and 1,993.13 is: 2,989.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.25 : 10,780.88 = 1,993.13 : x
  2. Step 2: Convert to fraction form
    7,187.25/10,780.88 = 1,993.13/x
  3. Step 3: Cross multiply
    7,187.25x = 10,780.88 × 1,993.13
  4. Step 4: Simplify right side
    7,187.25x = 21,487,631.48
  5. Step 5: Solve for x
    x = 21,487,631.48/7,187.25
  6. Step 6: Final answer
    x = 2,989.69

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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.