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Finding the Fourth Proportional to 10,485.78, 14,470.38 and 5,769.96

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Solution

The fourth proportional to 10,485.78, 14,470.38 and 5,769.96 is: 7,962.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.78 : 14,470.38 = 5,769.96 : x
  2. Step 2: Convert to fraction form
    10,485.78/14,470.38 = 5,769.96/x
  3. Step 3: Cross multiply
    10,485.78x = 14,470.38 × 5,769.96
  4. Step 4: Simplify right side
    10,485.78x = 83,493,513.78
  5. Step 5: Solve for x
    x = 83,493,513.78/10,485.78
  6. Step 6: Final answer
    x = 7,962.55

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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.