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Finding the Fourth Proportional to 10,310.78, 14,219.49 and 8,720.76

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Solution

The fourth proportional to 10,310.78, 14,219.49 and 8,720.76 is: 12,026.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,310.78 : 14,219.49 = 8,720.76 : x
  2. Step 2: Convert to fraction form
    10,310.78/14,219.49 = 8,720.76/x
  3. Step 3: Cross multiply
    10,310.78x = 14,219.49 × 8,720.76
  4. Step 4: Simplify right side
    10,310.78x = 124,004,759.61
  5. Step 5: Solve for x
    x = 124,004,759.61/10,310.78
  6. Step 6: Final answer
    x = 12,026.72

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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.