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Finding the Fourth Proportional to 7,504.65, 11,264.03 and 3,809.53

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Solution

The fourth proportional to 7,504.65, 11,264.03 and 3,809.53 is: 5,717.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,504.65 : 11,264.03 = 3,809.53 : x
  2. Step 2: Convert to fraction form
    7,504.65/11,264.03 = 3,809.53/x
  3. Step 3: Cross multiply
    7,504.65x = 11,264.03 × 3,809.53
  4. Step 4: Simplify right side
    7,504.65x = 42,910,669.52
  5. Step 5: Solve for x
    x = 42,910,669.52/7,504.65
  6. Step 6: Final answer
    x = 5,717.88

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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.