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Finding the Fourth Proportional to 10,010.57, 13,814.39 and 5,473.16

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Solution

The fourth proportional to 10,010.57, 13,814.39 and 5,473.16 is: 7,552.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,010.57 : 13,814.39 = 5,473.16 : x
  2. Step 2: Convert to fraction form
    10,010.57/13,814.39 = 5,473.16/x
  3. Step 3: Cross multiply
    10,010.57x = 13,814.39 × 5,473.16
  4. Step 4: Simplify right side
    10,010.57x = 75,608,270.33
  5. Step 5: Solve for x
    x = 75,608,270.33/10,010.57
  6. Step 6: Final answer
    x = 7,552.85

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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.