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Finding the Fourth Proportional to 11,698.17, 17,547.27 and 3,906.99

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Solution

The fourth proportional to 11,698.17, 17,547.27 and 3,906.99 is: 5,860.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.17 : 17,547.27 = 3,906.99 : x
  2. Step 2: Convert to fraction form
    11,698.17/17,547.27 = 3,906.99/x
  3. Step 3: Cross multiply
    11,698.17x = 17,547.27 × 3,906.99
  4. Step 4: Simplify right side
    11,698.17x = 68,557,008.42
  5. Step 5: Solve for x
    x = 68,557,008.42/11,698.17
  6. Step 6: Final answer
    x = 5,860.49

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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.