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Finding the Fourth Proportional to 7,453.32, 10,285.68 and 4,309.68

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Solution

The fourth proportional to 7,453.32, 10,285.68 and 4,309.68 is: 5,947.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,453.32 : 10,285.68 = 4,309.68 : x
  2. Step 2: Convert to fraction form
    7,453.32/10,285.68 = 4,309.68/x
  3. Step 3: Cross multiply
    7,453.32x = 10,285.68 × 4,309.68
  4. Step 4: Simplify right side
    7,453.32x = 44,327,989.38
  5. Step 5: Solve for x
    x = 44,327,989.38/7,453.32
  6. Step 6: Final answer
    x = 5,947.42

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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.