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Finding the Fourth Proportional to 7,253.50, 10,009.96 and 3,941.50

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Solution

The fourth proportional to 7,253.50, 10,009.96 and 3,941.50 is: 5,439.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,253.50 : 10,009.96 = 3,941.50 : x
  2. Step 2: Convert to fraction form
    7,253.50/10,009.96 = 3,941.50/x
  3. Step 3: Cross multiply
    7,253.50x = 10,009.96 × 3,941.50
  4. Step 4: Simplify right side
    7,253.50x = 39,454,257.34
  5. Step 5: Solve for x
    x = 39,454,257.34/7,253.50
  6. Step 6: Final answer
    x = 5,439.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.