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Finding the Fourth Proportional to 11,650.95, 16,078.50 and 6,345.76

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Solution

The fourth proportional to 11,650.95, 16,078.50 and 6,345.76 is: 8,757.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.95 : 16,078.50 = 6,345.76 : x
  2. Step 2: Convert to fraction form
    11,650.95/16,078.50 = 6,345.76/x
  3. Step 3: Cross multiply
    11,650.95x = 16,078.50 × 6,345.76
  4. Step 4: Simplify right side
    11,650.95x = 102,030,302.16
  5. Step 5: Solve for x
    x = 102,030,302.16/11,650.95
  6. Step 6: Final answer
    x = 8,757.25

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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.