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Finding the Fourth Proportional to 11,650.53, 16,077.76 and 6,345.24

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Solution

The fourth proportional to 11,650.53, 16,077.76 and 6,345.24 is: 8,756.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.53 : 16,077.76 = 6,345.24 : x
  2. Step 2: Convert to fraction form
    11,650.53/16,077.76 = 6,345.24/x
  3. Step 3: Cross multiply
    11,650.53x = 16,077.76 × 6,345.24
  4. Step 4: Simplify right side
    11,650.53x = 102,017,169.71
  5. Step 5: Solve for x
    x = 102,017,169.71/11,650.53
  6. Step 6: Final answer
    x = 8,756.44

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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.