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Finding the Fourth Proportional to 7,607.72, 11,403.87 and 3,653.16

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Solution

The fourth proportional to 7,607.72, 11,403.87 and 3,653.16 is: 5,476.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,607.72 : 11,403.87 = 3,653.16 : x
  2. Step 2: Convert to fraction form
    7,607.72/11,403.87 = 3,653.16/x
  3. Step 3: Cross multiply
    7,607.72x = 11,403.87 × 3,653.16
  4. Step 4: Simplify right side
    7,607.72x = 41,660,161.73
  5. Step 5: Solve for x
    x = 41,660,161.73/7,607.72
  6. Step 6: Final answer
    x = 5,476.04

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Why These Related Problems?

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