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Finding the Fourth Proportional to 10,876.48, 16,328.04 and 7,181.84

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Solution

The fourth proportional to 10,876.48, 16,328.04 and 7,181.84 is: 10,781.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876.48 : 16,328.04 = 7,181.84 : x
  2. Step 2: Convert to fraction form
    10,876.48/16,328.04 = 7,181.84/x
  3. Step 3: Cross multiply
    10,876.48x = 16,328.04 × 7,181.84
  4. Step 4: Simplify right side
    10,876.48x = 117,265,370.79
  5. Step 5: Solve for x
    x = 117,265,370.79/10,876.48
  6. Step 6: Final answer
    x = 10,781.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.