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Finding the Fourth Proportional to 11,408.58, 17,098.74 and 6,463.23

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Solution

The fourth proportional to 11,408.58, 17,098.74 and 6,463.23 is: 9,686.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,408.58 : 17,098.74 = 6,463.23 : x
  2. Step 2: Convert to fraction form
    11,408.58/17,098.74 = 6,463.23/x
  3. Step 3: Cross multiply
    11,408.58x = 17,098.74 × 6,463.23
  4. Step 4: Simplify right side
    11,408.58x = 110,513,089.33
  5. Step 5: Solve for x
    x = 110,513,089.33/11,408.58
  6. Step 6: Final answer
    x = 9,686.84

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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.