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Finding the Fourth Proportional to 10,715.76, 16,073.37 and 2,924.37

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Solution

The fourth proportional to 10,715.76, 16,073.37 and 2,924.37 is: 4,386.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,715.76 : 16,073.37 = 2,924.37 : x
  2. Step 2: Convert to fraction form
    10,715.76/16,073.37 = 2,924.37/x
  3. Step 3: Cross multiply
    10,715.76x = 16,073.37 × 2,924.37
  4. Step 4: Simplify right side
    10,715.76x = 47,004,481.03
  5. Step 5: Solve for x
    x = 47,004,481.03/10,715.76
  6. Step 6: Final answer
    x = 4,386.48

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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.