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Finding the Fourth Proportional to 27,011.76, 40,519.16 and 7,291.86

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Solution

The fourth proportional to 27,011.76, 40,519.16 and 7,291.86 is: 10,938.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,011.76 : 40,519.16 = 7,291.86 : x
  2. Step 2: Convert to fraction form
    27,011.76/40,519.16 = 7,291.86/x
  3. Step 3: Cross multiply
    27,011.76x = 40,519.16 × 7,291.86
  4. Step 4: Simplify right side
    27,011.76x = 295,460,042.04
  5. Step 5: Solve for x
    x = 295,460,042.04/27,011.76
  6. Step 6: Final answer
    x = 10,938.20

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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.