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Finding the Fourth Proportional to 7,242.44, 10,865.72 and 2,312.46

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Solution

The fourth proportional to 7,242.44, 10,865.72 and 2,312.46 is: 3,469.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.44 : 10,865.72 = 2,312.46 : x
  2. Step 2: Convert to fraction form
    7,242.44/10,865.72 = 2,312.46/x
  3. Step 3: Cross multiply
    7,242.44x = 10,865.72 × 2,312.46
  4. Step 4: Simplify right side
    7,242.44x = 25,126,531.31
  5. Step 5: Solve for x
    x = 25,126,531.31/7,242.44
  6. Step 6: Final answer
    x = 3,469.35

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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.