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Finding the Fourth Proportional to 8,866.92, 13,300.23 and 2,293.08

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Solution

The fourth proportional to 8,866.92, 13,300.23 and 2,293.08 is: 3,439.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,866.92 : 13,300.23 = 2,293.08 : x
  2. Step 2: Convert to fraction form
    8,866.92/13,300.23 = 2,293.08/x
  3. Step 3: Cross multiply
    8,866.92x = 13,300.23 × 2,293.08
  4. Step 4: Simplify right side
    8,866.92x = 30,498,491.41
  5. Step 5: Solve for x
    x = 30,498,491.41/8,866.92
  6. Step 6: Final answer
    x = 3,439.58

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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.