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Finding the Fourth Proportional to 11,426.88, 17,142.48 and 7,737.60

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Solution

The fourth proportional to 11,426.88, 17,142.48 and 7,737.60 is: 11,607.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,426.88 : 17,142.48 = 7,737.60 : x
  2. Step 2: Convert to fraction form
    11,426.88/17,142.48 = 7,737.60/x
  3. Step 3: Cross multiply
    11,426.88x = 17,142.48 × 7,737.60
  4. Step 4: Simplify right side
    11,426.88x = 132,641,653.25
  5. Step 5: Solve for x
    x = 132,641,653.25/11,426.88
  6. Step 6: Final answer
    x = 11,607.86

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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.