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Finding the Fourth Proportional to 11,374.59, 17,061.89 and 3,166.59

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Solution

The fourth proportional to 11,374.59, 17,061.89 and 3,166.59 is: 4,749.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,374.59 : 17,061.89 = 3,166.59 : x
  2. Step 2: Convert to fraction form
    11,374.59/17,061.89 = 3,166.59/x
  3. Step 3: Cross multiply
    11,374.59x = 17,061.89 × 3,166.59
  4. Step 4: Simplify right side
    11,374.59x = 54,028,076.22
  5. Step 5: Solve for x
    x = 54,028,076.22/11,374.59
  6. Step 6: Final answer
    x = 4,749.89

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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.