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Finding the Fourth Proportional to 7,146.54, 10,720.80 and 2,467.74

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Solution

The fourth proportional to 7,146.54, 10,720.80 and 2,467.74 is: 3,701.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.54 : 10,720.80 = 2,467.74 : x
  2. Step 2: Convert to fraction form
    7,146.54/10,720.80 = 2,467.74/x
  3. Step 3: Cross multiply
    7,146.54x = 10,720.80 × 2,467.74
  4. Step 4: Simplify right side
    7,146.54x = 26,456,146.99
  5. Step 5: Solve for x
    x = 26,456,146.99/7,146.54
  6. Step 6: Final answer
    x = 3,701.95

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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.