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Finding the Fourth Proportional to 8,041.81, 11,102.87 and 6,553.28

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Solution

The fourth proportional to 8,041.81, 11,102.87 and 6,553.28 is: 9,047.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041.81 : 11,102.87 = 6,553.28 : x
  2. Step 2: Convert to fraction form
    8,041.81/11,102.87 = 6,553.28/x
  3. Step 3: Cross multiply
    8,041.81x = 11,102.87 × 6,553.28
  4. Step 4: Simplify right side
    8,041.81x = 72,760,228.83
  5. Step 5: Solve for x
    x = 72,760,228.83/8,041.81
  6. Step 6: Final answer
    x = 9,047.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.