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Finding the Fourth Proportional to 7,187.27, 10,780.90 and 2,257.34

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Solution

The fourth proportional to 7,187.27, 10,780.90 and 2,257.34 is: 3,386.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.27 : 10,780.90 = 2,257.34 : x
  2. Step 2: Convert to fraction form
    7,187.27/10,780.90 = 2,257.34/x
  3. Step 3: Cross multiply
    7,187.27x = 10,780.90 × 2,257.34
  4. Step 4: Simplify right side
    7,187.27x = 24,336,097.26
  5. Step 5: Solve for x
    x = 24,336,097.26/7,187.27
  6. Step 6: Final answer
    x = 3,386.00

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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.