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Finding the Fourth Proportional to 11,587.56, 17,363.46 and 7,824.60

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Solution

The fourth proportional to 11,587.56, 17,363.46 and 7,824.60 is: 11,724.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587.56 : 17,363.46 = 7,824.60 : x
  2. Step 2: Convert to fraction form
    11,587.56/17,363.46 = 7,824.60/x
  3. Step 3: Cross multiply
    11,587.56x = 17,363.46 × 7,824.60
  4. Step 4: Simplify right side
    11,587.56x = 135,862,038.33
  5. Step 5: Solve for x
    x = 135,862,038.33/11,587.56
  6. Step 6: Final answer
    x = 11,724.81

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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.