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Finding the Fourth Proportional to 11,581.48, 15,968.10 and 7,849

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Solution

The fourth proportional to 11,581.48, 15,968.10 and 7,849 is: 10,821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,581.48 : 15,968.10 = 7,849 : x
  2. Step 2: Convert to fraction form
    11,581.48/15,968.10 = 7,849/x
  3. Step 3: Cross multiply
    11,581.48x = 15,968.10 × 7,849
  4. Step 4: Simplify right side
    11,581.48x = 125,333,616.90
  5. Step 5: Solve for x
    x = 125,333,616.90/11,581.48
  6. Step 6: Final answer
    x = 10,821.90

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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.