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Finding the Fourth Proportional to 8,525.84, 12,790.40 and 2,980.76

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Solution

The fourth proportional to 8,525.84, 12,790.40 and 2,980.76 is: 4,471.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,525.84 : 12,790.40 = 2,980.76 : x
  2. Step 2: Convert to fraction form
    8,525.84/12,790.40 = 2,980.76/x
  3. Step 3: Cross multiply
    8,525.84x = 12,790.40 × 2,980.76
  4. Step 4: Simplify right side
    8,525.84x = 38,125,033.85
  5. Step 5: Solve for x
    x = 38,125,033.85/8,525.84
  6. Step 6: Final answer
    x = 4,471.71

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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.