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Finding the Fourth Proportional to 10,669.38, 16,008.65 and 4,094.74

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Solution

The fourth proportional to 10,669.38, 16,008.65 and 4,094.74 is: 6,143.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,669.38 : 16,008.65 = 4,094.74 : x
  2. Step 2: Convert to fraction form
    10,669.38/16,008.65 = 4,094.74/x
  3. Step 3: Cross multiply
    10,669.38x = 16,008.65 × 4,094.74
  4. Step 4: Simplify right side
    10,669.38x = 65,551,259.50
  5. Step 5: Solve for x
    x = 65,551,259.50/10,669.38
  6. Step 6: Final answer
    x = 6,143.87

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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.