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Finding the Fourth Proportional to 11,154.66, 16,728.49 and 4,038

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Solution

The fourth proportional to 11,154.66, 16,728.49 and 4,038 is: 6,055.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,154.66 : 16,728.49 = 4,038 : x
  2. Step 2: Convert to fraction form
    11,154.66/16,728.49 = 4,038/x
  3. Step 3: Cross multiply
    11,154.66x = 16,728.49 × 4,038
  4. Step 4: Simplify right side
    11,154.66x = 67,549,642.62
  5. Step 5: Solve for x
    x = 67,549,642.62/11,154.66
  6. Step 6: Final answer
    x = 6,055.73

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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.