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Finding the Fourth Proportional to 12,448.13, 17,177.79 and 6,782.85

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Solution

The fourth proportional to 12,448.13, 17,177.79 and 6,782.85 is: 9,359.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,448.13 : 17,177.79 = 6,782.85 : x
  2. Step 2: Convert to fraction form
    12,448.13/17,177.79 = 6,782.85/x
  3. Step 3: Cross multiply
    12,448.13x = 17,177.79 × 6,782.85
  4. Step 4: Simplify right side
    12,448.13x = 116,514,372.90
  5. Step 5: Solve for x
    x = 116,514,372.90/12,448.13
  6. Step 6: Final answer
    x = 9,359.99

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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.