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Finding the Fourth Proportional to 7,778.40, 11,645.68 and 6,991.08

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Solution

The fourth proportional to 7,778.40, 11,645.68 and 6,991.08 is: 10,466.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.40 : 11,645.68 = 6,991.08 : x
  2. Step 2: Convert to fraction form
    7,778.40/11,645.68 = 6,991.08/x
  3. Step 3: Cross multiply
    7,778.40x = 11,645.68 × 6,991.08
  4. Step 4: Simplify right side
    7,778.40x = 81,415,880.53
  5. Step 5: Solve for x
    x = 81,415,880.53/7,778.40
  6. Step 6: Final answer
    x = 10,466.92

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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.