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Finding the Fourth Proportional to 10,171.25, 15,237.15 and 7,497.98

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Solution

The fourth proportional to 10,171.25, 15,237.15 and 7,497.98 is: 11,232.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171.25 : 15,237.15 = 7,497.98 : x
  2. Step 2: Convert to fraction form
    10,171.25/15,237.15 = 7,497.98/x
  3. Step 3: Cross multiply
    10,171.25x = 15,237.15 × 7,497.98
  4. Step 4: Simplify right side
    10,171.25x = 114,247,845.96
  5. Step 5: Solve for x
    x = 114,247,845.96/10,171.25
  6. Step 6: Final answer
    x = 11,232.43

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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.