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Finding the Fourth Proportional to 7,153.74, 10,731.09 and 2,474.22

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Solution

The fourth proportional to 7,153.74, 10,731.09 and 2,474.22 is: 3,711.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.74 : 10,731.09 = 2,474.22 : x
  2. Step 2: Convert to fraction form
    7,153.74/10,731.09 = 2,474.22/x
  3. Step 3: Cross multiply
    7,153.74x = 10,731.09 × 2,474.22
  4. Step 4: Simplify right side
    7,153.74x = 26,551,077.50
  5. Step 5: Solve for x
    x = 26,551,077.50/7,153.74
  6. Step 6: Final answer
    x = 3,711.50

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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.