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Finding the Fourth Proportional to 10,140.54, 13,995.27 and 5,949.18

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Solution

The fourth proportional to 10,140.54, 13,995.27 and 5,949.18 is: 8,210.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,140.54 : 13,995.27 = 5,949.18 : x
  2. Step 2: Convert to fraction form
    10,140.54/13,995.27 = 5,949.18/x
  3. Step 3: Cross multiply
    10,140.54x = 13,995.27 × 5,949.18
  4. Step 4: Simplify right side
    10,140.54x = 83,260,380.38
  5. Step 5: Solve for x
    x = 83,260,380.38/10,140.54
  6. Step 6: Final answer
    x = 8,210.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.