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Finding the Fourth Proportional to 11,729.77, 16,186.55 and 6,424.47

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Solution

The fourth proportional to 11,729.77, 16,186.55 and 6,424.47 is: 8,865.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,729.77 : 16,186.55 = 6,424.47 : x
  2. Step 2: Convert to fraction form
    11,729.77/16,186.55 = 6,424.47/x
  3. Step 3: Cross multiply
    11,729.77x = 16,186.55 × 6,424.47
  4. Step 4: Simplify right side
    11,729.77x = 103,989,972.76
  5. Step 5: Solve for x
    x = 103,989,972.76/11,729.77
  6. Step 6: Final answer
    x = 8,865.48

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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.