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Finding the Fourth Proportional to 11,547.55, 17,277.99 and 6,850.36

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Solution

The fourth proportional to 11,547.55, 17,277.99 and 6,850.36 is: 10,249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.55 : 17,277.99 = 6,850.36 : x
  2. Step 2: Convert to fraction form
    11,547.55/17,277.99 = 6,850.36/x
  3. Step 3: Cross multiply
    11,547.55x = 17,277.99 × 6,850.36
  4. Step 4: Simplify right side
    11,547.55x = 118,360,451.58
  5. Step 5: Solve for x
    x = 118,360,451.58/11,547.55
  6. Step 6: Final answer
    x = 10,249.83

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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.