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Finding the Fourth Proportional to 11,076, 16,618.14 and 4,503.84

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Solution

The fourth proportional to 11,076, 16,618.14 and 4,503.84 is: 6,757.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,076 : 16,618.14 = 4,503.84 : x
  2. Step 2: Convert to fraction form
    11,076/16,618.14 = 4,503.84/x
  3. Step 3: Cross multiply
    11,076x = 16,618.14 × 4,503.84
  4. Step 4: Simplify right side
    11,076x = 74,845,443.66
  5. Step 5: Solve for x
    x = 74,845,443.66/11,076
  6. Step 6: Final answer
    x = 6,757.44

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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.