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Finding the Fourth Proportional to 11,650.64, 16,078.29 and 6,614.69

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Solution

The fourth proportional to 11,650.64, 16,078.29 and 6,614.69 is: 9,128.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.64 : 16,078.29 = 6,614.69 : x
  2. Step 2: Convert to fraction form
    11,650.64/16,078.29 = 6,614.69/x
  3. Step 3: Cross multiply
    11,650.64x = 16,078.29 × 6,614.69
  4. Step 4: Simplify right side
    11,650.64x = 106,352,871.01
  5. Step 5: Solve for x
    x = 106,352,871.01/11,650.64
  6. Step 6: Final answer
    x = 9,128.50

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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.