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Finding the Fourth Proportional to 8,064.35, 12,097.94 and 3,682.25

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Solution

The fourth proportional to 8,064.35, 12,097.94 and 3,682.25 is: 5,524.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.35 : 12,097.94 = 3,682.25 : x
  2. Step 2: Convert to fraction form
    8,064.35/12,097.94 = 3,682.25/x
  3. Step 3: Cross multiply
    8,064.35x = 12,097.94 × 3,682.25
  4. Step 4: Simplify right side
    8,064.35x = 44,547,639.57
  5. Step 5: Solve for x
    x = 44,547,639.57/8,064.35
  6. Step 6: Final answer
    x = 5,524.02

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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.