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Finding the Fourth Proportional to 27,008.10, 40,507.26 and 7,282.02

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Solution

The fourth proportional to 27,008.10, 40,507.26 and 7,282.02 is: 10,921.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,008.10 : 40,507.26 = 7,282.02 : x
  2. Step 2: Convert to fraction form
    27,008.10/40,507.26 = 7,282.02/x
  3. Step 3: Cross multiply
    27,008.10x = 40,507.26 × 7,282.02
  4. Step 4: Simplify right side
    27,008.10x = 294,974,677.47
  5. Step 5: Solve for x
    x = 294,974,677.47/27,008.10
  6. Step 6: Final answer
    x = 10,921.71

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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.