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Finding the Fourth Proportional to 10,877.78, 15,010.75 and 6,161.75

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Solution

The fourth proportional to 10,877.78, 15,010.75 and 6,161.75 is: 8,502.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,877.78 : 15,010.75 = 6,161.75 : x
  2. Step 2: Convert to fraction form
    10,877.78/15,010.75 = 6,161.75/x
  3. Step 3: Cross multiply
    10,877.78x = 15,010.75 × 6,161.75
  4. Step 4: Simplify right side
    10,877.78x = 92,492,488.81
  5. Step 5: Solve for x
    x = 92,492,488.81/10,877.78
  6. Step 6: Final answer
    x = 8,502.88

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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.