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Finding the Fourth Proportional to 7,245, 10,869.36 and 2,050.86

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Solution

The fourth proportional to 7,245, 10,869.36 and 2,050.86 is: 3,076.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,245 : 10,869.36 = 2,050.86 : x
  2. Step 2: Convert to fraction form
    7,245/10,869.36 = 2,050.86/x
  3. Step 3: Cross multiply
    7,245x = 10,869.36 × 2,050.86
  4. Step 4: Simplify right side
    7,245x = 22,291,535.65
  5. Step 5: Solve for x
    x = 22,291,535.65/7,245
  6. Step 6: Final answer
    x = 3,076.82

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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.