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Finding the Fourth Proportional to 11,841.16, 16,340.58 and 6,737.60

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Solution

The fourth proportional to 11,841.16, 16,340.58 and 6,737.60 is: 9,297.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.16 : 16,340.58 = 6,737.60 : x
  2. Step 2: Convert to fraction form
    11,841.16/16,340.58 = 6,737.60/x
  3. Step 3: Cross multiply
    11,841.16x = 16,340.58 × 6,737.60
  4. Step 4: Simplify right side
    11,841.16x = 110,096,291.81
  5. Step 5: Solve for x
    x = 110,096,291.81/11,841.16
  6. Step 6: Final answer
    x = 9,297.76

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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.