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Finding the Fourth Proportional to 7,688.88, 11,535.41 and 2,494.76

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Solution

The fourth proportional to 7,688.88, 11,535.41 and 2,494.76 is: 3,742.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688.88 : 11,535.41 = 2,494.76 : x
  2. Step 2: Convert to fraction form
    7,688.88/11,535.41 = 2,494.76/x
  3. Step 3: Cross multiply
    7,688.88x = 11,535.41 × 2,494.76
  4. Step 4: Simplify right side
    7,688.88x = 28,778,028.01
  5. Step 5: Solve for x
    x = 28,778,028.01/7,688.88
  6. Step 6: Final answer
    x = 3,742.81

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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.