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Finding the Fourth Proportional to 8,294.99, 11,446.25 and 5,107.77

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Solution

The fourth proportional to 8,294.99, 11,446.25 and 5,107.77 is: 7,048.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.99 : 11,446.25 = 5,107.77 : x
  2. Step 2: Convert to fraction form
    8,294.99/11,446.25 = 5,107.77/x
  3. Step 3: Cross multiply
    8,294.99x = 11,446.25 × 5,107.77
  4. Step 4: Simplify right side
    8,294.99x = 58,464,853.75
  5. Step 5: Solve for x
    x = 58,464,853.75/8,294.99
  6. Step 6: Final answer
    x = 7,048.21

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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.