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Finding the Fourth Proportional to 11,647.29, 16,073.60 and 6,342.20

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Solution

The fourth proportional to 11,647.29, 16,073.60 and 6,342.20 is: 8,752.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.29 : 16,073.60 = 6,342.20 : x
  2. Step 2: Convert to fraction form
    11,647.29/16,073.60 = 6,342.20/x
  3. Step 3: Cross multiply
    11,647.29x = 16,073.60 × 6,342.20
  4. Step 4: Simplify right side
    11,647.29x = 101,941,985.92
  5. Step 5: Solve for x
    x = 101,941,985.92/11,647.29
  6. Step 6: Final answer
    x = 8,752.42

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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.