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Finding the Fourth Proportional to 10,485.48, 14,470.02 and 5,769.84

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Solution

The fourth proportional to 10,485.48, 14,470.02 and 5,769.84 is: 7,962.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.48 : 14,470.02 = 5,769.84 : x
  2. Step 2: Convert to fraction form
    10,485.48/14,470.02 = 5,769.84/x
  3. Step 3: Cross multiply
    10,485.48x = 14,470.02 × 5,769.84
  4. Step 4: Simplify right side
    10,485.48x = 83,489,700.20
  5. Step 5: Solve for x
    x = 83,489,700.20/10,485.48
  6. Step 6: Final answer
    x = 7,962.41

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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.