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Finding the Fourth Proportional to 10,155.54, 14,014.31 and 5,679.78

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Solution

The fourth proportional to 10,155.54, 14,014.31 and 5,679.78 is: 7,837.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,155.54 : 14,014.31 = 5,679.78 : x
  2. Step 2: Convert to fraction form
    10,155.54/14,014.31 = 5,679.78/x
  3. Step 3: Cross multiply
    10,155.54x = 14,014.31 × 5,679.78
  4. Step 4: Simplify right side
    10,155.54x = 79,598,169.25
  5. Step 5: Solve for x
    x = 79,598,169.25/10,155.54
  6. Step 6: Final answer
    x = 7,837.91

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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.