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Finding the Fourth Proportional to 10,185.28, 14,054.46 and 5,937.28

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Solution

The fourth proportional to 10,185.28, 14,054.46 and 5,937.28 is: 8,192.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,185.28 : 14,054.46 = 5,937.28 : x
  2. Step 2: Convert to fraction form
    10,185.28/14,054.46 = 5,937.28/x
  3. Step 3: Cross multiply
    10,185.28x = 14,054.46 × 5,937.28
  4. Step 4: Simplify right side
    10,185.28x = 83,445,264.27
  5. Step 5: Solve for x
    x = 83,445,264.27/10,185.28
  6. Step 6: Final answer
    x = 8,192.73

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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.