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Finding the Fourth Proportional to 7,790.46, 11,687.24 and 2,860.16

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Solution

The fourth proportional to 7,790.46, 11,687.24 and 2,860.16 is: 4,290.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790.46 : 11,687.24 = 2,860.16 : x
  2. Step 2: Convert to fraction form
    7,790.46/11,687.24 = 2,860.16/x
  3. Step 3: Cross multiply
    7,790.46x = 11,687.24 × 2,860.16
  4. Step 4: Simplify right side
    7,790.46x = 33,427,303.62
  5. Step 5: Solve for x
    x = 33,427,303.62/7,790.46
  6. Step 6: Final answer
    x = 4,290.80

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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.