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Finding the Fourth Proportional to 7,682.42, 11,525.80 and 2,488.70

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Solution

The fourth proportional to 7,682.42, 11,525.80 and 2,488.70 is: 3,733.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.42 : 11,525.80 = 2,488.70 : x
  2. Step 2: Convert to fraction form
    7,682.42/11,525.80 = 2,488.70/x
  3. Step 3: Cross multiply
    7,682.42x = 11,525.80 × 2,488.70
  4. Step 4: Simplify right side
    7,682.42x = 28,684,258.46
  5. Step 5: Solve for x
    x = 28,684,258.46/7,682.42
  6. Step 6: Final answer
    x = 3,733.75

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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.