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Finding the Fourth Proportional to 8,849.36, 12,191.16 and 7,586.24

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Solution

The fourth proportional to 8,849.36, 12,191.16 and 7,586.24 is: 10,451.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,849.36 : 12,191.16 = 7,586.24 : x
  2. Step 2: Convert to fraction form
    8,849.36/12,191.16 = 7,586.24/x
  3. Step 3: Cross multiply
    8,849.36x = 12,191.16 × 7,586.24
  4. Step 4: Simplify right side
    8,849.36x = 92,485,065.64
  5. Step 5: Solve for x
    x = 92,485,065.64/8,849.36
  6. Step 6: Final answer
    x = 10,451.05

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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.