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Finding the Fourth Proportional to 8,064.27, 12,089.12 and 2,866.50

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Solution

The fourth proportional to 8,064.27, 12,089.12 and 2,866.50 is: 4,297.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.27 : 12,089.12 = 2,866.50 : x
  2. Step 2: Convert to fraction form
    8,064.27/12,089.12 = 2,866.50/x
  3. Step 3: Cross multiply
    8,064.27x = 12,089.12 × 2,866.50
  4. Step 4: Simplify right side
    8,064.27x = 34,653,448.15
  5. Step 5: Solve for x
    x = 34,653,448.15/8,064.27
  6. Step 6: Final answer
    x = 4,297.16

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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.