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Finding the Fourth Proportional to 10,433.49, 15,652.07 and 5,751.50

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Solution

The fourth proportional to 10,433.49, 15,652.07 and 5,751.50 is: 8,628.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433.49 : 15,652.07 = 5,751.50 : x
  2. Step 2: Convert to fraction form
    10,433.49/15,652.07 = 5,751.50/x
  3. Step 3: Cross multiply
    10,433.49x = 15,652.07 × 5,751.50
  4. Step 4: Simplify right side
    10,433.49x = 90,022,773.59
  5. Step 5: Solve for x
    x = 90,022,773.59/10,433.49
  6. Step 6: Final answer
    x = 8,628.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.