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Finding the Fourth Proportional to 27,782.83, 41,677.00 and 9,062.11

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Solution

The fourth proportional to 27,782.83, 41,677.00 and 9,062.11 is: 13,594.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,782.83 : 41,677.00 = 9,062.11 : x
  2. Step 2: Convert to fraction form
    27,782.83/41,677.00 = 9,062.11/x
  3. Step 3: Cross multiply
    27,782.83x = 41,677.00 × 9,062.11
  4. Step 4: Simplify right side
    27,782.83x = 377,681,587.91
  5. Step 5: Solve for x
    x = 377,681,587.91/27,782.83
  6. Step 6: Final answer
    x = 13,594.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.