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Finding the Fourth Proportional to 11,090.80, 16,644.90 and 7,737.24

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Solution

The fourth proportional to 11,090.80, 16,644.90 and 7,737.24 is: 11,611.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,090.80 : 16,644.90 = 7,737.24 : x
  2. Step 2: Convert to fraction form
    11,090.80/16,644.90 = 7,737.24/x
  3. Step 3: Cross multiply
    11,090.80x = 16,644.90 × 7,737.24
  4. Step 4: Simplify right side
    11,090.80x = 128,785,547.39
  5. Step 5: Solve for x
    x = 128,785,547.39/11,090.80
  6. Step 6: Final answer
    x = 11,611.93

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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.