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Finding the Fourth Proportional to 8,412.33, 11,524.95 and 8,097.04

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Solution

The fourth proportional to 8,412.33, 11,524.95 and 8,097.04 is: 11,093.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.33 : 11,524.95 = 8,097.04 : x
  2. Step 2: Convert to fraction form
    8,412.33/11,524.95 = 8,097.04/x
  3. Step 3: Cross multiply
    8,412.33x = 11,524.95 × 8,097.04
  4. Step 4: Simplify right side
    8,412.33x = 93,317,940.66
  5. Step 5: Solve for x
    x = 93,317,940.66/8,412.33
  6. Step 6: Final answer
    x = 11,093.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.