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Finding the Fourth Proportional to 27,129.36, 40,695.87 and 7,406.27

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Solution

The fourth proportional to 27,129.36, 40,695.87 and 7,406.27 is: 11,109.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,129.36 : 40,695.87 = 7,406.27 : x
  2. Step 2: Convert to fraction form
    27,129.36/40,695.87 = 7,406.27/x
  3. Step 3: Cross multiply
    27,129.36x = 40,695.87 × 7,406.27
  4. Step 4: Simplify right side
    27,129.36x = 301,404,397.63
  5. Step 5: Solve for x
    x = 301,404,397.63/27,129.36
  6. Step 6: Final answer
    x = 11,109.90

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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.