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Finding the Fourth Proportional to 27,026.28, 40,536.36 and 7,306.74

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Solution

The fourth proportional to 27,026.28, 40,536.36 and 7,306.74 is: 10,959.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,026.28 : 40,536.36 = 7,306.74 : x
  2. Step 2: Convert to fraction form
    27,026.28/40,536.36 = 7,306.74/x
  3. Step 3: Cross multiply
    27,026.28x = 40,536.36 × 7,306.74
  4. Step 4: Simplify right side
    27,026.28x = 296,188,643.07
  5. Step 5: Solve for x
    x = 296,188,643.07/27,026.28
  6. Step 6: Final answer
    x = 10,959.28

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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.