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Finding the Fourth Proportional to 10,671.24, 16,008.93 and 4,096.92

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Solution

The fourth proportional to 10,671.24, 16,008.93 and 4,096.92 is: 6,146.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.24 : 16,008.93 = 4,096.92 : x
  2. Step 2: Convert to fraction form
    10,671.24/16,008.93 = 4,096.92/x
  3. Step 3: Cross multiply
    10,671.24x = 16,008.93 × 4,096.92
  4. Step 4: Simplify right side
    10,671.24x = 65,587,305.50
  5. Step 5: Solve for x
    x = 65,587,305.50/10,671.24
  6. Step 6: Final answer
    x = 6,146.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.