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Finding the Fourth Proportional to 11,404.50, 17,095.12 and 6,463.72

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Solution

The fourth proportional to 11,404.50, 17,095.12 and 6,463.72 is: 9,688.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,404.50 : 17,095.12 = 6,463.72 : x
  2. Step 2: Convert to fraction form
    11,404.50/17,095.12 = 6,463.72/x
  3. Step 3: Cross multiply
    11,404.50x = 17,095.12 × 6,463.72
  4. Step 4: Simplify right side
    11,404.50x = 110,498,069.05
  5. Step 5: Solve for x
    x = 110,498,069.05/11,404.50
  6. Step 6: Final answer
    x = 9,688.99

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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.