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Finding the Fourth Proportional to 11,897.58, 17,846.68 and 5,658.26

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Solution

The fourth proportional to 11,897.58, 17,846.68 and 5,658.26 is: 8,487.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.58 : 17,846.68 = 5,658.26 : x
  2. Step 2: Convert to fraction form
    11,897.58/17,846.68 = 5,658.26/x
  3. Step 3: Cross multiply
    11,897.58x = 17,846.68 × 5,658.26
  4. Step 4: Simplify right side
    11,897.58x = 100,981,062.81
  5. Step 5: Solve for x
    x = 100,981,062.81/11,897.58
  6. Step 6: Final answer
    x = 8,487.53

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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.