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Finding the Fourth Proportional to 8,294.73, 11,446.61 and 4,937.51

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Solution

The fourth proportional to 8,294.73, 11,446.61 and 4,937.51 is: 6,813.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.73 : 11,446.61 = 4,937.51 : x
  2. Step 2: Convert to fraction form
    8,294.73/11,446.61 = 4,937.51/x
  3. Step 3: Cross multiply
    8,294.73x = 11,446.61 × 4,937.51
  4. Step 4: Simplify right side
    8,294.73x = 56,517,669.42
  5. Step 5: Solve for x
    x = 56,517,669.42/8,294.73
  6. Step 6: Final answer
    x = 6,813.68

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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.