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Finding the Fourth Proportional to 11,647.78, 16,073.40 and 6,342.58

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Solution

The fourth proportional to 11,647.78, 16,073.40 and 6,342.58 is: 8,752.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.78 : 16,073.40 = 6,342.58 : x
  2. Step 2: Convert to fraction form
    11,647.78/16,073.40 = 6,342.58/x
  3. Step 3: Cross multiply
    11,647.78x = 16,073.40 × 6,342.58
  4. Step 4: Simplify right side
    11,647.78x = 101,946,825.37
  5. Step 5: Solve for x
    x = 101,946,825.37/11,647.78
  6. Step 6: Final answer
    x = 8,752.47

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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.