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Finding the Fourth Proportional to 7,704.12, 11,553.75 and 3,320.40

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Solution

The fourth proportional to 7,704.12, 11,553.75 and 3,320.40 is: 4,979.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.12 : 11,553.75 = 3,320.40 : x
  2. Step 2: Convert to fraction form
    7,704.12/11,553.75 = 3,320.40/x
  3. Step 3: Cross multiply
    7,704.12x = 11,553.75 × 3,320.40
  4. Step 4: Simplify right side
    7,704.12x = 38,363,071.50
  5. Step 5: Solve for x
    x = 38,363,071.50/7,704.12
  6. Step 6: Final answer
    x = 4,979.55

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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.