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Finding the Fourth Proportional to 7,432.25, 10,256.81 and 4,075.38

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Solution

The fourth proportional to 7,432.25, 10,256.81 and 4,075.38 is: 5,624.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,432.25 : 10,256.81 = 4,075.38 : x
  2. Step 2: Convert to fraction form
    7,432.25/10,256.81 = 4,075.38/x
  3. Step 3: Cross multiply
    7,432.25x = 10,256.81 × 4,075.38
  4. Step 4: Simplify right side
    7,432.25x = 41,800,377.96
  5. Step 5: Solve for x
    x = 41,800,377.96/7,432.25
  6. Step 6: Final answer
    x = 5,624.19

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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.