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Finding the Fourth Proportional to 11,077, 16,594.18 and 8,724.56

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Solution

The fourth proportional to 11,077, 16,594.18 and 8,724.56 is: 13,070.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,077 : 16,594.18 = 8,724.56 : x
  2. Step 2: Convert to fraction form
    11,077/16,594.18 = 8,724.56/x
  3. Step 3: Cross multiply
    11,077x = 16,594.18 × 8,724.56
  4. Step 4: Simplify right side
    11,077x = 144,776,919.06
  5. Step 5: Solve for x
    x = 144,776,919.06/11,077
  6. Step 6: Final answer
    x = 13,070.05

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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.