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Finding the Fourth Proportional to 7,496.42, 11,242.21 and 2,497.46

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Solution

The fourth proportional to 7,496.42, 11,242.21 and 2,497.46 is: 3,745.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,496.42 : 11,242.21 = 2,497.46 : x
  2. Step 2: Convert to fraction form
    7,496.42/11,242.21 = 2,497.46/x
  3. Step 3: Cross multiply
    7,496.42x = 11,242.21 × 2,497.46
  4. Step 4: Simplify right side
    7,496.42x = 28,076,969.79
  5. Step 5: Solve for x
    x = 28,076,969.79/7,496.42
  6. Step 6: Final answer
    x = 3,745.38

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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.