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Finding the Fourth Proportional to 10,485.52, 14,470.24 and 5,769.72

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Solution

The fourth proportional to 10,485.52, 14,470.24 and 5,769.72 is: 7,962.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.52 : 14,470.24 = 5,769.72 : x
  2. Step 2: Convert to fraction form
    10,485.52/14,470.24 = 5,769.72/x
  3. Step 3: Cross multiply
    10,485.52x = 14,470.24 × 5,769.72
  4. Step 4: Simplify right side
    10,485.52x = 83,489,233.13
  5. Step 5: Solve for x
    x = 83,489,233.13/10,485.52
  6. Step 6: Final answer
    x = 7,962.34

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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.