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Finding the Fourth Proportional to 8,148.99, 12,207.08 and 5,653.08

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Solution

The fourth proportional to 8,148.99, 12,207.08 and 5,653.08 is: 8,468.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148.99 : 12,207.08 = 5,653.08 : x
  2. Step 2: Convert to fraction form
    8,148.99/12,207.08 = 5,653.08/x
  3. Step 3: Cross multiply
    8,148.99x = 12,207.08 × 5,653.08
  4. Step 4: Simplify right side
    8,148.99x = 69,007,571.54
  5. Step 5: Solve for x
    x = 69,007,571.54/8,148.99
  6. Step 6: Final answer
    x = 8,468.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.