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Finding the Fourth Proportional to 10,141, 13,996.20 and 5,949.28

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Solution

The fourth proportional to 10,141, 13,996.20 and 5,949.28 is: 8,210.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,141 : 13,996.20 = 5,949.28 : x
  2. Step 2: Convert to fraction form
    10,141/13,996.20 = 5,949.28/x
  3. Step 3: Cross multiply
    10,141x = 13,996.20 × 5,949.28
  4. Step 4: Simplify right side
    10,141x = 83,267,312.74
  5. Step 5: Solve for x
    x = 83,267,312.74/10,141
  6. Step 6: Final answer
    x = 8,210.96

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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.