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Finding the Fourth Proportional to 11,822.18, 17,737.34 and 5,252.96

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Solution

The fourth proportional to 11,822.18, 17,737.34 and 5,252.96 is: 7,881.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,822.18 : 17,737.34 = 5,252.96 : x
  2. Step 2: Convert to fraction form
    11,822.18/17,737.34 = 5,252.96/x
  3. Step 3: Cross multiply
    11,822.18x = 17,737.34 × 5,252.96
  4. Step 4: Simplify right side
    11,822.18x = 93,173,537.53
  5. Step 5: Solve for x
    x = 93,173,537.53/11,822.18
  6. Step 6: Final answer
    x = 7,881.25

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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.