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Finding the Fourth Proportional to 27,107.36, 40,656.47 and 7,385.95

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Solution

The fourth proportional to 27,107.36, 40,656.47 and 7,385.95 is: 11,077.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,107.36 : 40,656.47 = 7,385.95 : x
  2. Step 2: Convert to fraction form
    27,107.36/40,656.47 = 7,385.95/x
  3. Step 3: Cross multiply
    27,107.36x = 40,656.47 × 7,385.95
  4. Step 4: Simplify right side
    27,107.36x = 300,286,668.49
  5. Step 5: Solve for x
    x = 300,286,668.49/27,107.36
  6. Step 6: Final answer
    x = 11,077.68

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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.