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Finding the Fourth Proportional to 8,704.97, 13,052.06 and 2,860.01

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Solution

The fourth proportional to 8,704.97, 13,052.06 and 2,860.01 is: 4,288.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,704.97 : 13,052.06 = 2,860.01 : x
  2. Step 2: Convert to fraction form
    8,704.97/13,052.06 = 2,860.01/x
  3. Step 3: Cross multiply
    8,704.97x = 13,052.06 × 2,860.01
  4. Step 4: Simplify right side
    8,704.97x = 37,329,007.82
  5. Step 5: Solve for x
    x = 37,329,007.82/8,704.97
  6. Step 6: Final answer
    x = 4,288.24

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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.