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Finding the Fourth Proportional to 11,557.92, 17,346.60 and 4,989

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Solution

The fourth proportional to 11,557.92, 17,346.60 and 4,989 is: 7,487.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557.92 : 17,346.60 = 4,989 : x
  2. Step 2: Convert to fraction form
    11,557.92/17,346.60 = 4,989/x
  3. Step 3: Cross multiply
    11,557.92x = 17,346.60 × 4,989
  4. Step 4: Simplify right side
    11,557.92x = 86,542,187.40
  5. Step 5: Solve for x
    x = 86,542,187.40/11,557.92
  6. Step 6: Final answer
    x = 7,487.70

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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.