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Finding the Fourth Proportional to 11,657.48, 17,488.94 and 3,337.25

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Solution

The fourth proportional to 11,657.48, 17,488.94 and 3,337.25 is: 5,006.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.48 : 17,488.94 = 3,337.25 : x
  2. Step 2: Convert to fraction form
    11,657.48/17,488.94 = 3,337.25/x
  3. Step 3: Cross multiply
    11,657.48x = 17,488.94 × 3,337.25
  4. Step 4: Simplify right side
    11,657.48x = 58,364,860.88
  5. Step 5: Solve for x
    x = 58,364,860.88/11,657.48
  6. Step 6: Final answer
    x = 5,006.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.