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Finding the Fourth Proportional to 7,688.02, 11,533.88 and 2,493.90

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Solution

The fourth proportional to 7,688.02, 11,533.88 and 2,493.90 is: 3,741.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688.02 : 11,533.88 = 2,493.90 : x
  2. Step 2: Convert to fraction form
    7,688.02/11,533.88 = 2,493.90/x
  3. Step 3: Cross multiply
    7,688.02x = 11,533.88 × 2,493.90
  4. Step 4: Simplify right side
    7,688.02x = 28,764,343.33
  5. Step 5: Solve for x
    x = 28,764,343.33/7,688.02
  6. Step 6: Final answer
    x = 3,741.45

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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.