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Finding the Fourth Proportional to 10,342.78, 14,273.07 and 5,627.06

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Solution

The fourth proportional to 10,342.78, 14,273.07 and 5,627.06 is: 7,765.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.78 : 14,273.07 = 5,627.06 : x
  2. Step 2: Convert to fraction form
    10,342.78/14,273.07 = 5,627.06/x
  3. Step 3: Cross multiply
    10,342.78x = 14,273.07 × 5,627.06
  4. Step 4: Simplify right side
    10,342.78x = 80,315,421.27
  5. Step 5: Solve for x
    x = 80,315,421.27/10,342.78
  6. Step 6: Final answer
    x = 7,765.36

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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.