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Finding the Fourth Proportional to 11,650.50, 16,077.78 and 6,345.18

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Solution

The fourth proportional to 11,650.50, 16,077.78 and 6,345.18 is: 8,756.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.50 : 16,077.78 = 6,345.18 : x
  2. Step 2: Convert to fraction form
    11,650.50/16,077.78 = 6,345.18/x
  3. Step 3: Cross multiply
    11,650.50x = 16,077.78 × 6,345.18
  4. Step 4: Simplify right side
    11,650.50x = 102,016,408.10
  5. Step 5: Solve for x
    x = 102,016,408.10/11,650.50
  6. Step 6: Final answer
    x = 8,756.40

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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.