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Finding the Fourth Proportional to 7,432.89, 10,257.28 and 4,075.69

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Solution

The fourth proportional to 7,432.89, 10,257.28 and 4,075.69 is: 5,624.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,432.89 : 10,257.28 = 4,075.69 : x
  2. Step 2: Convert to fraction form
    7,432.89/10,257.28 = 4,075.69/x
  3. Step 3: Cross multiply
    7,432.89x = 10,257.28 × 4,075.69
  4. Step 4: Simplify right side
    7,432.89x = 41,805,493.52
  5. Step 5: Solve for x
    x = 41,805,493.52/7,432.89
  6. Step 6: Final answer
    x = 5,624.39

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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.