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Finding the Fourth Proportional to 11,712.36, 16,166.82 and 7,737

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Solution

The fourth proportional to 11,712.36, 16,166.82 and 7,737 is: 10,679.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.36 : 16,166.82 = 7,737 : x
  2. Step 2: Convert to fraction form
    11,712.36/16,166.82 = 7,737/x
  3. Step 3: Cross multiply
    11,712.36x = 16,166.82 × 7,737
  4. Step 4: Simplify right side
    11,712.36x = 125,082,686.34
  5. Step 5: Solve for x
    x = 125,082,686.34/11,712.36
  6. Step 6: Final answer
    x = 10,679.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.