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Finding the Fourth Proportional to 7,247.97, 10,871.93 and 2,316.44

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Solution

The fourth proportional to 7,247.97, 10,871.93 and 2,316.44 is: 3,474.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,247.97 : 10,871.93 = 2,316.44 : x
  2. Step 2: Convert to fraction form
    7,247.97/10,871.93 = 2,316.44/x
  3. Step 3: Cross multiply
    7,247.97x = 10,871.93 × 2,316.44
  4. Step 4: Simplify right side
    7,247.97x = 25,184,206.50
  5. Step 5: Solve for x
    x = 25,184,206.50/7,247.97
  6. Step 6: Final answer
    x = 3,474.66

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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.