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Finding the Fourth Proportional to 11,460.78, 17,191.17 and 4,064.94

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Solution

The fourth proportional to 11,460.78, 17,191.17 and 4,064.94 is: 6,097.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,460.78 : 17,191.17 = 4,064.94 : x
  2. Step 2: Convert to fraction form
    11,460.78/17,191.17 = 4,064.94/x
  3. Step 3: Cross multiply
    11,460.78x = 17,191.17 × 4,064.94
  4. Step 4: Simplify right side
    11,460.78x = 69,881,074.58
  5. Step 5: Solve for x
    x = 69,881,074.58/11,460.78
  6. Step 6: Final answer
    x = 6,097.41

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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.