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Finding the Fourth Proportional to 10,719.54, 14,788.02 and 6,943.97

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Solution

The fourth proportional to 10,719.54, 14,788.02 and 6,943.97 is: 9,579.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,719.54 : 14,788.02 = 6,943.97 : x
  2. Step 2: Convert to fraction form
    10,719.54/14,788.02 = 6,943.97/x
  3. Step 3: Cross multiply
    10,719.54x = 14,788.02 × 6,943.97
  4. Step 4: Simplify right side
    10,719.54x = 102,687,493.30
  5. Step 5: Solve for x
    x = 102,687,493.30/10,719.54
  6. Step 6: Final answer
    x = 9,579.47

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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.