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Finding the Fourth Proportional to 7,546.57, 11,315.44 and 2,280.01

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Solution

The fourth proportional to 7,546.57, 11,315.44 and 2,280.01 is: 3,418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.57 : 11,315.44 = 2,280.01 : x
  2. Step 2: Convert to fraction form
    7,546.57/11,315.44 = 2,280.01/x
  3. Step 3: Cross multiply
    7,546.57x = 11,315.44 × 2,280.01
  4. Step 4: Simplify right side
    7,546.57x = 25,799,316.35
  5. Step 5: Solve for x
    x = 25,799,316.35/7,546.57
  6. Step 6: Final answer
    x = 3,418.68

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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.