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Finding the Fourth Proportional to 8,033.58, 11,089.44 and 7,811.64

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Solution

The fourth proportional to 8,033.58, 11,089.44 and 7,811.64 is: 10,783.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033.58 : 11,089.44 = 7,811.64 : x
  2. Step 2: Convert to fraction form
    8,033.58/11,089.44 = 7,811.64/x
  3. Step 3: Cross multiply
    8,033.58x = 11,089.44 × 7,811.64
  4. Step 4: Simplify right side
    8,033.58x = 86,626,713.08
  5. Step 5: Solve for x
    x = 86,626,713.08/8,033.58
  6. Step 6: Final answer
    x = 10,783.08

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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.