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Finding the Fourth Proportional to 10,996.71, 15,175.76 and 6,216.83

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Solution

The fourth proportional to 10,996.71, 15,175.76 and 6,216.83 is: 8,579.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,996.71 : 15,175.76 = 6,216.83 : x
  2. Step 2: Convert to fraction form
    10,996.71/15,175.76 = 6,216.83/x
  3. Step 3: Cross multiply
    10,996.71x = 15,175.76 × 6,216.83
  4. Step 4: Simplify right side
    10,996.71x = 94,345,143.01
  5. Step 5: Solve for x
    x = 94,345,143.01/10,996.71
  6. Step 6: Final answer
    x = 8,579.40

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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.