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Finding the Fourth Proportional to 8,130.98, 11,195.76 and 6,933.32

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Solution

The fourth proportional to 8,130.98, 11,195.76 and 6,933.32 is: 9,546.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.98 : 11,195.76 = 6,933.32 : x
  2. Step 2: Convert to fraction form
    8,130.98/11,195.76 = 6,933.32/x
  3. Step 3: Cross multiply
    8,130.98x = 11,195.76 × 6,933.32
  4. Step 4: Simplify right side
    8,130.98x = 77,623,786.72
  5. Step 5: Solve for x
    x = 77,623,786.72/8,130.98
  6. Step 6: Final answer
    x = 9,546.67

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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.