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Finding the Fourth Proportional to 10,046.42, 13,855.62 and 6,461.97

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Solution

The fourth proportional to 10,046.42, 13,855.62 and 6,461.97 is: 8,912.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.42 : 13,855.62 = 6,461.97 : x
  2. Step 2: Convert to fraction form
    10,046.42/13,855.62 = 6,461.97/x
  3. Step 3: Cross multiply
    10,046.42x = 13,855.62 × 6,461.97
  4. Step 4: Simplify right side
    10,046.42x = 89,534,600.77
  5. Step 5: Solve for x
    x = 89,534,600.77/10,046.42
  6. Step 6: Final answer
    x = 8,912.09

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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.