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Finding the Fourth Proportional to 10,945.07, 16,416.06 and 6,249.86

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Solution

The fourth proportional to 10,945.07, 16,416.06 and 6,249.86 is: 9,373.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,945.07 : 16,416.06 = 6,249.86 : x
  2. Step 2: Convert to fraction form
    10,945.07/16,416.06 = 6,249.86/x
  3. Step 3: Cross multiply
    10,945.07x = 16,416.06 × 6,249.86
  4. Step 4: Simplify right side
    10,945.07x = 102,597,994.67
  5. Step 5: Solve for x
    x = 102,597,994.67/10,945.07
  6. Step 6: Final answer
    x = 9,373.90

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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.