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Finding the Fourth Proportional to 8,284.48, 11,426.88 and 7,930.24

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Solution

The fourth proportional to 8,284.48, 11,426.88 and 7,930.24 is: 10,938.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.48 : 11,426.88 = 7,930.24 : x
  2. Step 2: Convert to fraction form
    8,284.48/11,426.88 = 7,930.24/x
  3. Step 3: Cross multiply
    8,284.48x = 11,426.88 × 7,930.24
  4. Step 4: Simplify right side
    8,284.48x = 90,617,900.85
  5. Step 5: Solve for x
    x = 90,617,900.85/8,284.48
  6. Step 6: Final answer
    x = 10,938.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.