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Finding the Fourth Proportional to 27,530.68, 41,287.14 and 7,803.94

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Solution

The fourth proportional to 27,530.68, 41,287.14 and 7,803.94 is: 11,703.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,530.68 : 41,287.14 = 7,803.94 : x
  2. Step 2: Convert to fraction form
    27,530.68/41,287.14 = 7,803.94/x
  3. Step 3: Cross multiply
    27,530.68x = 41,287.14 × 7,803.94
  4. Step 4: Simplify right side
    27,530.68x = 322,202,363.33
  5. Step 5: Solve for x
    x = 322,202,363.33/27,530.68
  6. Step 6: Final answer
    x = 11,703.39

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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.