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Finding the Fourth Proportional to 7,688.54, 11,534.63 and 2,494.42

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Solution

The fourth proportional to 7,688.54, 11,534.63 and 2,494.42 is: 3,742.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688.54 : 11,534.63 = 2,494.42 : x
  2. Step 2: Convert to fraction form
    7,688.54/11,534.63 = 2,494.42/x
  3. Step 3: Cross multiply
    7,688.54x = 11,534.63 × 2,494.42
  4. Step 4: Simplify right side
    7,688.54x = 28,772,170.46
  5. Step 5: Solve for x
    x = 28,772,170.46/7,688.54
  6. Step 6: Final answer
    x = 3,742.21

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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.