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Finding the Fourth Proportional to 10,983.68, 16,467.68 and 5,137.10

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Solution

The fourth proportional to 10,983.68, 16,467.68 and 5,137.10 is: 7,701.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,983.68 : 16,467.68 = 5,137.10 : x
  2. Step 2: Convert to fraction form
    10,983.68/16,467.68 = 5,137.10/x
  3. Step 3: Cross multiply
    10,983.68x = 16,467.68 × 5,137.10
  4. Step 4: Simplify right side
    10,983.68x = 84,596,093.24
  5. Step 5: Solve for x
    x = 84,596,093.24/10,983.68
  6. Step 6: Final answer
    x = 7,701.98

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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.