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Finding the Fourth Proportional to 10,877.10, 16,315.65 and 10,229.10

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Solution

The fourth proportional to 10,877.10, 16,315.65 and 10,229.10 is: 15,343.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,877.10 : 16,315.65 = 10,229.10 : x
  2. Step 2: Convert to fraction form
    10,877.10/16,315.65 = 10,229.10/x
  3. Step 3: Cross multiply
    10,877.10x = 16,315.65 × 10,229.10
  4. Step 4: Simplify right side
    10,877.10x = 166,894,415.42
  5. Step 5: Solve for x
    x = 166,894,415.42/10,877.10
  6. Step 6: Final answer
    x = 15,343.65

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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.