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Finding the Fourth Proportional to 7,688.42, 11,539.11 and 3,074.66

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Solution

The fourth proportional to 7,688.42, 11,539.11 and 3,074.66 is: 4,614.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688.42 : 11,539.11 = 3,074.66 : x
  2. Step 2: Convert to fraction form
    7,688.42/11,539.11 = 3,074.66/x
  3. Step 3: Cross multiply
    7,688.42x = 11,539.11 × 3,074.66
  4. Step 4: Simplify right side
    7,688.42x = 35,478,839.95
  5. Step 5: Solve for x
    x = 35,478,839.95/7,688.42
  6. Step 6: Final answer
    x = 4,614.58

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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.