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Finding the Fourth Proportional to 10,185.78, 14,055.15 and 5,937.78

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Solution

The fourth proportional to 10,185.78, 14,055.15 and 5,937.78 is: 8,193.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,185.78 : 14,055.15 = 5,937.78 : x
  2. Step 2: Convert to fraction form
    10,185.78/14,055.15 = 5,937.78/x
  3. Step 3: Cross multiply
    10,185.78x = 14,055.15 × 5,937.78
  4. Step 4: Simplify right side
    10,185.78x = 83,456,388.57
  5. Step 5: Solve for x
    x = 83,456,388.57/10,185.78
  6. Step 6: Final answer
    x = 8,193.42

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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.