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Finding the Fourth Proportional to 8,049.00, 11,102.01 and 7,778.06

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Solution

The fourth proportional to 8,049.00, 11,102.01 and 7,778.06 is: 10,728.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.00 : 11,102.01 = 7,778.06 : x
  2. Step 2: Convert to fraction form
    8,049.00/11,102.01 = 7,778.06/x
  3. Step 3: Cross multiply
    8,049.00x = 11,102.01 × 7,778.06
  4. Step 4: Simplify right side
    8,049.00x = 86,352,100.61
  5. Step 5: Solve for x
    x = 86,352,100.61/8,049.00
  6. Step 6: Final answer
    x = 10,728.30

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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.