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Finding the Fourth Proportional to 7,190.61, 10,785.68 and 2,260.14

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Solution

The fourth proportional to 7,190.61, 10,785.68 and 2,260.14 is: 3,390.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.61 : 10,785.68 = 2,260.14 : x
  2. Step 2: Convert to fraction form
    7,190.61/10,785.68 = 2,260.14/x
  3. Step 3: Cross multiply
    7,190.61x = 10,785.68 × 2,260.14
  4. Step 4: Simplify right side
    7,190.61x = 24,377,135.49
  5. Step 5: Solve for x
    x = 24,377,135.49/7,190.61
  6. Step 6: Final answer
    x = 3,390.13

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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.