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Finding the Fourth Proportional to 7,662.08, 11,498.24 and 4,201.76

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Solution

The fourth proportional to 7,662.08, 11,498.24 and 4,201.76 is: 6,305.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.08 : 11,498.24 = 4,201.76 : x
  2. Step 2: Convert to fraction form
    7,662.08/11,498.24 = 4,201.76/x
  3. Step 3: Cross multiply
    7,662.08x = 11,498.24 × 4,201.76
  4. Step 4: Simplify right side
    7,662.08x = 48,312,844.90
  5. Step 5: Solve for x
    x = 48,312,844.90/7,662.08
  6. Step 6: Final answer
    x = 6,305.45

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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.