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Finding the Fourth Proportional to 7,538.76, 11,293.02 and 3,840.84

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Solution

The fourth proportional to 7,538.76, 11,293.02 and 3,840.84 is: 5,753.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.76 : 11,293.02 = 3,840.84 : x
  2. Step 2: Convert to fraction form
    7,538.76/11,293.02 = 3,840.84/x
  3. Step 3: Cross multiply
    7,538.76x = 11,293.02 × 3,840.84
  4. Step 4: Simplify right side
    7,538.76x = 43,374,682.94
  5. Step 5: Solve for x
    x = 43,374,682.94/7,538.76
  6. Step 6: Final answer
    x = 5,753.56

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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.