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Finding the Fourth Proportional to 7,610.08, 11,415.86 and 2,992

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Solution

The fourth proportional to 7,610.08, 11,415.86 and 2,992 is: 4,488.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610.08 : 11,415.86 = 2,992 : x
  2. Step 2: Convert to fraction form
    7,610.08/11,415.86 = 2,992/x
  3. Step 3: Cross multiply
    7,610.08x = 11,415.86 × 2,992
  4. Step 4: Simplify right side
    7,610.08x = 34,156,253.12
  5. Step 5: Solve for x
    x = 34,156,253.12/7,610.08
  6. Step 6: Final answer
    x = 4,488.29

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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.