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Finding the Fourth Proportional to 7,432.46, 10,257.03 and 4,075.11

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Solution

The fourth proportional to 7,432.46, 10,257.03 and 4,075.11 is: 5,623.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,432.46 : 10,257.03 = 4,075.11 : x
  2. Step 2: Convert to fraction form
    7,432.46/10,257.03 = 4,075.11/x
  3. Step 3: Cross multiply
    7,432.46x = 10,257.03 × 4,075.11
  4. Step 4: Simplify right side
    7,432.46x = 41,798,525.52
  5. Step 5: Solve for x
    x = 41,798,525.52/7,432.46
  6. Step 6: Final answer
    x = 5,623.78

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