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Finding the Fourth Proportional to 7,297.73, 10,947.12 and 2,104.01

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Solution

The fourth proportional to 7,297.73, 10,947.12 and 2,104.01 is: 3,156.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.73 : 10,947.12 = 2,104.01 : x
  2. Step 2: Convert to fraction form
    7,297.73/10,947.12 = 2,104.01/x
  3. Step 3: Cross multiply
    7,297.73x = 10,947.12 × 2,104.01
  4. Step 4: Simplify right side
    7,297.73x = 23,032,795.22
  5. Step 5: Solve for x
    x = 23,032,795.22/7,297.73
  6. Step 6: Final answer
    x = 3,156.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.