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Finding the Fourth Proportional to 10,887.35, 16,337.10 and 4,646.30

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Solution

The fourth proportional to 10,887.35, 16,337.10 and 4,646.30 is: 6,972.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,887.35 : 16,337.10 = 4,646.30 : x
  2. Step 2: Convert to fraction form
    10,887.35/16,337.10 = 4,646.30/x
  3. Step 3: Cross multiply
    10,887.35x = 16,337.10 × 4,646.30
  4. Step 4: Simplify right side
    10,887.35x = 75,907,067.73
  5. Step 5: Solve for x
    x = 75,907,067.73/10,887.35
  6. Step 6: Final answer
    x = 6,972.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.