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Finding the Fourth Proportional to 10,671.48, 16,006.92 and 4,097.46

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Solution

The fourth proportional to 10,671.48, 16,006.92 and 4,097.46 is: 6,146.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.48 : 16,006.92 = 4,097.46 : x
  2. Step 2: Convert to fraction form
    10,671.48/16,006.92 = 4,097.46/x
  3. Step 3: Cross multiply
    10,671.48x = 16,006.92 × 4,097.46
  4. Step 4: Simplify right side
    10,671.48x = 65,587,714.42
  5. Step 5: Solve for x
    x = 65,587,714.42/10,671.48
  6. Step 6: Final answer
    x = 6,146.07

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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.