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Finding the Fourth Proportional to 8,782.95, 12,116.79 and 5,758.80

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Solution

The fourth proportional to 8,782.95, 12,116.79 and 5,758.80 is: 7,944.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.95 : 12,116.79 = 5,758.80 : x
  2. Step 2: Convert to fraction form
    8,782.95/12,116.79 = 5,758.80/x
  3. Step 3: Cross multiply
    8,782.95x = 12,116.79 × 5,758.80
  4. Step 4: Simplify right side
    8,782.95x = 69,778,170.25
  5. Step 5: Solve for x
    x = 69,778,170.25/8,782.95
  6. Step 6: Final answer
    x = 7,944.73

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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.