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Finding the Fourth Proportional to 10,841.64, 16,262.22 and 4,998.24

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Solution

The fourth proportional to 10,841.64, 16,262.22 and 4,998.24 is: 7,497.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,841.64 : 16,262.22 = 4,998.24 : x
  2. Step 2: Convert to fraction form
    10,841.64/16,262.22 = 4,998.24/x
  3. Step 3: Cross multiply
    10,841.64x = 16,262.22 × 4,998.24
  4. Step 4: Simplify right side
    10,841.64x = 81,282,478.49
  5. Step 5: Solve for x
    x = 81,282,478.49/10,841.64
  6. Step 6: Final answer
    x = 7,497.25

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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.