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Finding the Fourth Proportional to 11,650.79, 16,078.40 and 6,345.95

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Solution

The fourth proportional to 11,650.79, 16,078.40 and 6,345.95 is: 8,757.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.79 : 16,078.40 = 6,345.95 : x
  2. Step 2: Convert to fraction form
    11,650.79/16,078.40 = 6,345.95/x
  3. Step 3: Cross multiply
    11,650.79x = 16,078.40 × 6,345.95
  4. Step 4: Simplify right side
    11,650.79x = 102,032,634.16
  5. Step 5: Solve for x
    x = 102,032,634.16/11,650.79
  6. Step 6: Final answer
    x = 8,757.57

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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.