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Finding the Fourth Proportional to 10,776.42, 14,881.29 and 8,119.23

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Solution

The fourth proportional to 10,776.42, 14,881.29 and 8,119.23 is: 11,211.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,776.42 : 14,881.29 = 8,119.23 : x
  2. Step 2: Convert to fraction form
    10,776.42/14,881.29 = 8,119.23/x
  3. Step 3: Cross multiply
    10,776.42x = 14,881.29 × 8,119.23
  4. Step 4: Simplify right side
    10,776.42x = 120,824,616.21
  5. Step 5: Solve for x
    x = 120,824,616.21/10,776.42
  6. Step 6: Final answer
    x = 11,211.94

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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.