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Finding the Fourth Proportional to 11,178.16, 16,774.98 and 4,164.58

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Solution

The fourth proportional to 11,178.16, 16,774.98 and 4,164.58 is: 6,249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178.16 : 16,774.98 = 4,164.58 : x
  2. Step 2: Convert to fraction form
    11,178.16/16,774.98 = 4,164.58/x
  3. Step 3: Cross multiply
    11,178.16x = 16,774.98 × 4,164.58
  4. Step 4: Simplify right side
    11,178.16x = 69,860,746.21
  5. Step 5: Solve for x
    x = 69,860,746.21/11,178.16
  6. Step 6: Final answer
    x = 6,249.75

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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.