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Finding the Fourth Proportional to 27,266.91, 40,901.28 and 7,543.82

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Solution

The fourth proportional to 27,266.91, 40,901.28 and 7,543.82 is: 11,315.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,266.91 : 40,901.28 = 7,543.82 : x
  2. Step 2: Convert to fraction form
    27,266.91/40,901.28 = 7,543.82/x
  3. Step 3: Cross multiply
    27,266.91x = 40,901.28 × 7,543.82
  4. Step 4: Simplify right side
    27,266.91x = 308,551,689.58
  5. Step 5: Solve for x
    x = 308,551,689.58/27,266.91
  6. Step 6: Final answer
    x = 11,315.98

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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.