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Finding the Fourth Proportional to 10,671.63, 16,009.49 and 4,097.30

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Solution

The fourth proportional to 10,671.63, 16,009.49 and 4,097.30 is: 6,146.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.63 : 16,009.49 = 4,097.30 : x
  2. Step 2: Convert to fraction form
    10,671.63/16,009.49 = 4,097.30/x
  3. Step 3: Cross multiply
    10,671.63x = 16,009.49 × 4,097.30
  4. Step 4: Simplify right side
    10,671.63x = 65,595,613.57
  5. Step 5: Solve for x
    x = 65,595,613.57/10,671.63
  6. Step 6: Final answer
    x = 6,146.73

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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.