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Finding the Fourth Proportional to 10,469.47, 14,447.70 and 5,753.65

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Solution

The fourth proportional to 10,469.47, 14,447.70 and 5,753.65 is: 7,939.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.47 : 14,447.70 = 5,753.65 : x
  2. Step 2: Convert to fraction form
    10,469.47/14,447.70 = 5,753.65/x
  3. Step 3: Cross multiply
    10,469.47x = 14,447.70 × 5,753.65
  4. Step 4: Simplify right side
    10,469.47x = 83,127,009.11
  5. Step 5: Solve for x
    x = 83,127,009.11/10,469.47
  6. Step 6: Final answer
    x = 7,939.94

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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.