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Finding the Fourth Proportional to 11,737.20, 16,196.98 and 6,431.84

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Solution

The fourth proportional to 11,737.20, 16,196.98 and 6,431.84 is: 8,875.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.20 : 16,196.98 = 6,431.84 : x
  2. Step 2: Convert to fraction form
    11,737.20/16,196.98 = 6,431.84/x
  3. Step 3: Cross multiply
    11,737.20x = 16,196.98 × 6,431.84
  4. Step 4: Simplify right side
    11,737.20x = 104,176,383.84
  5. Step 5: Solve for x
    x = 104,176,383.84/11,737.20
  6. Step 6: Final answer
    x = 8,875.74

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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.