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Finding the Fourth Proportional to 11,248.88, 16,873.32 and 6,807.66

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Solution

The fourth proportional to 11,248.88, 16,873.32 and 6,807.66 is: 10,211.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,248.88 : 16,873.32 = 6,807.66 : x
  2. Step 2: Convert to fraction form
    11,248.88/16,873.32 = 6,807.66/x
  3. Step 3: Cross multiply
    11,248.88x = 16,873.32 × 6,807.66
  4. Step 4: Simplify right side
    11,248.88x = 114,867,825.63
  5. Step 5: Solve for x
    x = 114,867,825.63/11,248.88
  6. Step 6: Final answer
    x = 10,211.49

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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.