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Finding the Fourth Proportional to 11,431.84, 15,772.44 and 7,451.50

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Solution

The fourth proportional to 11,431.84, 15,772.44 and 7,451.50 is: 10,280.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431.84 : 15,772.44 = 7,451.50 : x
  2. Step 2: Convert to fraction form
    11,431.84/15,772.44 = 7,451.50/x
  3. Step 3: Cross multiply
    11,431.84x = 15,772.44 × 7,451.50
  4. Step 4: Simplify right side
    11,431.84x = 117,528,336.66
  5. Step 5: Solve for x
    x = 117,528,336.66/11,431.84
  6. Step 6: Final answer
    x = 10,280.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.