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Finding the Fourth Proportional to 8,449.08, 11,653.56 and 7,328.08

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Solution

The fourth proportional to 8,449.08, 11,653.56 and 7,328.08 is: 10,107.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.08 : 11,653.56 = 7,328.08 : x
  2. Step 2: Convert to fraction form
    8,449.08/11,653.56 = 7,328.08/x
  3. Step 3: Cross multiply
    8,449.08x = 11,653.56 × 7,328.08
  4. Step 4: Simplify right side
    8,449.08x = 85,398,219.96
  5. Step 5: Solve for x
    x = 85,398,219.96/8,449.08
  6. Step 6: Final answer
    x = 10,107.40

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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.