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Finding the Fourth Proportional to 27,407.34, 41,107.95 and 7,686.66

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Solution

The fourth proportional to 27,407.34, 41,107.95 and 7,686.66 is: 11,529.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,407.34 : 41,107.95 = 7,686.66 : x
  2. Step 2: Convert to fraction form
    27,407.34/41,107.95 = 7,686.66/x
  3. Step 3: Cross multiply
    27,407.34x = 41,107.95 × 7,686.66
  4. Step 4: Simplify right side
    27,407.34x = 315,982,834.95
  5. Step 5: Solve for x
    x = 315,982,834.95/27,407.34
  6. Step 6: Final answer
    x = 11,529.13

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