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Finding the Fourth Proportional to 8,110.08, 12,107.52 and 7,822.08

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Solution

The fourth proportional to 8,110.08, 12,107.52 and 7,822.08 is: 11,677.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110.08 : 12,107.52 = 7,822.08 : x
  2. Step 2: Convert to fraction form
    8,110.08/12,107.52 = 7,822.08/x
  3. Step 3: Cross multiply
    8,110.08x = 12,107.52 × 7,822.08
  4. Step 4: Simplify right side
    8,110.08x = 94,705,990.04
  5. Step 5: Solve for x
    x = 94,705,990.04/8,110.08
  6. Step 6: Final answer
    x = 11,677.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.