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Finding the Fourth Proportional to 11,650.93, 16,078.30 and 6,345.77

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Solution

The fourth proportional to 11,650.93, 16,078.30 and 6,345.77 is: 8,757.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.93 : 16,078.30 = 6,345.77 : x
  2. Step 2: Convert to fraction form
    11,650.93/16,078.30 = 6,345.77/x
  3. Step 3: Cross multiply
    11,650.93x = 16,078.30 × 6,345.77
  4. Step 4: Simplify right side
    11,650.93x = 102,029,097.54
  5. Step 5: Solve for x
    x = 102,029,097.54/11,650.93
  6. Step 6: Final answer
    x = 8,757.17

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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.