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Finding the Fourth Proportional to 7,189.40, 10,780.18 and 2,508.15

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Solution

The fourth proportional to 7,189.40, 10,780.18 and 2,508.15 is: 3,760.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.40 : 10,780.18 = 2,508.15 : x
  2. Step 2: Convert to fraction form
    7,189.40/10,780.18 = 2,508.15/x
  3. Step 3: Cross multiply
    7,189.40x = 10,780.18 × 2,508.15
  4. Step 4: Simplify right side
    7,189.40x = 27,038,308.47
  5. Step 5: Solve for x
    x = 27,038,308.47/7,189.40
  6. Step 6: Final answer
    x = 3,760.86

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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.