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Finding the Fourth Proportional to 7,247.65, 10,866.16 and 2,314.45

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Solution

The fourth proportional to 7,247.65, 10,866.16 and 2,314.45 is: 3,469.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,247.65 : 10,866.16 = 2,314.45 : x
  2. Step 2: Convert to fraction form
    7,247.65/10,866.16 = 2,314.45/x
  3. Step 3: Cross multiply
    7,247.65x = 10,866.16 × 2,314.45
  4. Step 4: Simplify right side
    7,247.65x = 25,149,184.01
  5. Step 5: Solve for x
    x = 25,149,184.01/7,247.65
  6. Step 6: Final answer
    x = 3,469.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.