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Finding the Fourth Proportional to 7,534.94, 11,297.82 and 3,374.17

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Solution

The fourth proportional to 7,534.94, 11,297.82 and 3,374.17 is: 5,059.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.94 : 11,297.82 = 3,374.17 : x
  2. Step 2: Convert to fraction form
    7,534.94/11,297.82 = 3,374.17/x
  3. Step 3: Cross multiply
    7,534.94x = 11,297.82 × 3,374.17
  4. Step 4: Simplify right side
    7,534.94x = 38,120,803.78
  5. Step 5: Solve for x
    x = 38,120,803.78/7,534.94
  6. Step 6: Final answer
    x = 5,059.20

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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.