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Finding the Fourth Proportional to 10,461.84, 14,438.12 and 6,879.12

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Solution

The fourth proportional to 10,461.84, 14,438.12 and 6,879.12 is: 9,493.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.84 : 14,438.12 = 6,879.12 : x
  2. Step 2: Convert to fraction form
    10,461.84/14,438.12 = 6,879.12/x
  3. Step 3: Cross multiply
    10,461.84x = 14,438.12 × 6,879.12
  4. Step 4: Simplify right side
    10,461.84x = 99,321,560.05
  5. Step 5: Solve for x
    x = 99,321,560.05/10,461.84
  6. Step 6: Final answer
    x = 9,493.70

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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.