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Finding the Fourth Proportional to 11,650.83, 16,078.17 and 6,345.63

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Solution

The fourth proportional to 11,650.83, 16,078.17 and 6,345.63 is: 8,756.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.83 : 16,078.17 = 6,345.63 : x
  2. Step 2: Convert to fraction form
    11,650.83/16,078.17 = 6,345.63/x
  3. Step 3: Cross multiply
    11,650.83x = 16,078.17 × 6,345.63
  4. Step 4: Simplify right side
    11,650.83x = 102,026,117.90
  5. Step 5: Solve for x
    x = 102,026,117.90/11,650.83
  6. Step 6: Final answer
    x = 8,756.98

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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.