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Finding the Fourth Proportional to 8,029.78, 11,079.50 and 4,492.30

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Solution

The fourth proportional to 8,029.78, 11,079.50 and 4,492.30 is: 6,198.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029.78 : 11,079.50 = 4,492.30 : x
  2. Step 2: Convert to fraction form
    8,029.78/11,079.50 = 4,492.30/x
  3. Step 3: Cross multiply
    8,029.78x = 11,079.50 × 4,492.30
  4. Step 4: Simplify right side
    8,029.78x = 49,772,437.85
  5. Step 5: Solve for x
    x = 49,772,437.85/8,029.78
  6. Step 6: Final answer
    x = 6,198.48

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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.