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Finding the Fourth Proportional to 27,266.85, 40,901.19 and 7,543.76

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Solution

The fourth proportional to 27,266.85, 40,901.19 and 7,543.76 is: 11,315.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,266.85 : 40,901.19 = 7,543.76 : x
  2. Step 2: Convert to fraction form
    27,266.85/40,901.19 = 7,543.76/x
  3. Step 3: Cross multiply
    27,266.85x = 40,901.19 × 7,543.76
  4. Step 4: Simplify right side
    27,266.85x = 308,548,518.85
  5. Step 5: Solve for x
    x = 308,548,518.85/27,266.85
  6. Step 6: Final answer
    x = 11,315.88

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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.