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Finding the Fourth Proportional to 11,776.08, 16,249.14 and 7,530.90

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Solution

The fourth proportional to 11,776.08, 16,249.14 and 7,530.90 is: 10,391.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.08 : 16,249.14 = 7,530.90 : x
  2. Step 2: Convert to fraction form
    11,776.08/16,249.14 = 7,530.90/x
  3. Step 3: Cross multiply
    11,776.08x = 16,249.14 × 7,530.90
  4. Step 4: Simplify right side
    11,776.08x = 122,370,648.43
  5. Step 5: Solve for x
    x = 122,370,648.43/11,776.08
  6. Step 6: Final answer
    x = 10,391.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.