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Finding the Fourth Proportional to 10,691.42, 16,037.13 and 2,900.23

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Solution

The fourth proportional to 10,691.42, 16,037.13 and 2,900.23 is: 4,350.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.42 : 16,037.13 = 2,900.23 : x
  2. Step 2: Convert to fraction form
    10,691.42/16,037.13 = 2,900.23/x
  3. Step 3: Cross multiply
    10,691.42x = 16,037.13 × 2,900.23
  4. Step 4: Simplify right side
    10,691.42x = 46,511,325.45
  5. Step 5: Solve for x
    x = 46,511,325.45/10,691.42
  6. Step 6: Final answer
    x = 4,350.34

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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.