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Finding the Fourth Proportional to 8,263.92, 11,412.72 and 7,078.08

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Solution

The fourth proportional to 8,263.92, 11,412.72 and 7,078.08 is: 9,775.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.92 : 11,412.72 = 7,078.08 : x
  2. Step 2: Convert to fraction form
    8,263.92/11,412.72 = 7,078.08/x
  3. Step 3: Cross multiply
    8,263.92x = 11,412.72 × 7,078.08
  4. Step 4: Simplify right side
    8,263.92x = 80,780,145.18
  5. Step 5: Solve for x
    x = 80,780,145.18/8,263.92
  6. Step 6: Final answer
    x = 9,775.04

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1.5x scale

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.