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Finding the Fourth Proportional to 11,966.15, 17,921.93 and 5,730.57

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Solution

The fourth proportional to 11,966.15, 17,921.93 and 5,730.57 is: 8,582.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966.15 : 17,921.93 = 5,730.57 : x
  2. Step 2: Convert to fraction form
    11,966.15/17,921.93 = 5,730.57/x
  3. Step 3: Cross multiply
    11,966.15x = 17,921.93 × 5,730.57
  4. Step 4: Simplify right side
    11,966.15x = 102,702,845.75
  5. Step 5: Solve for x
    x = 102,702,845.75/11,966.15
  6. Step 6: Final answer
    x = 8,582.78

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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.