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Finding the Fourth Proportional to 11,652.33, 16,078.00 and 6,873.77

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Solution

The fourth proportional to 11,652.33, 16,078.00 and 6,873.77 is: 9,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.33 : 16,078.00 = 6,873.77 : x
  2. Step 2: Convert to fraction form
    11,652.33/16,078.00 = 6,873.77/x
  3. Step 3: Cross multiply
    11,652.33x = 16,078.00 × 6,873.77
  4. Step 4: Simplify right side
    11,652.33x = 110,516,439.69
  5. Step 5: Solve for x
    x = 110,516,439.69/11,652.33
  6. Step 6: Final answer
    x = 9,484.50

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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.