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Finding the Fourth Proportional to 11,650.08, 17,475.12 and 5,498.40

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Solution

The fourth proportional to 11,650.08, 17,475.12 and 5,498.40 is: 8,247.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.08 : 17,475.12 = 5,498.40 : x
  2. Step 2: Convert to fraction form
    11,650.08/17,475.12 = 5,498.40/x
  3. Step 3: Cross multiply
    11,650.08x = 17,475.12 × 5,498.40
  4. Step 4: Simplify right side
    11,650.08x = 96,085,199.81
  5. Step 5: Solve for x
    x = 96,085,199.81/11,650.08
  6. Step 6: Final answer
    x = 8,247.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.