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Finding the Fourth Proportional to 10,999.90, 15,178.47 and 6,284.48

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Solution

The fourth proportional to 10,999.90, 15,178.47 and 6,284.48 is: 8,671.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,999.90 : 15,178.47 = 6,284.48 : x
  2. Step 2: Convert to fraction form
    10,999.90/15,178.47 = 6,284.48/x
  3. Step 3: Cross multiply
    10,999.90x = 15,178.47 × 6,284.48
  4. Step 4: Simplify right side
    10,999.90x = 95,388,791.15
  5. Step 5: Solve for x
    x = 95,388,791.15/10,999.90
  6. Step 6: Final answer
    x = 8,671.79

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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.