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Finding the Fourth Proportional to 8,195.24, 11,300.10 and 6,601.16

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Solution

The fourth proportional to 8,195.24, 11,300.10 and 6,601.16 is: 9,102.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.24 : 11,300.10 = 6,601.16 : x
  2. Step 2: Convert to fraction form
    8,195.24/11,300.10 = 6,601.16/x
  3. Step 3: Cross multiply
    8,195.24x = 11,300.10 × 6,601.16
  4. Step 4: Simplify right side
    8,195.24x = 74,593,768.12
  5. Step 5: Solve for x
    x = 74,593,768.12/8,195.24
  6. Step 6: Final answer
    x = 9,102.08

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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.