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Finding the Fourth Proportional to 7,442.02, 11,164.90 and 5,255.02

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Solution

The fourth proportional to 7,442.02, 11,164.90 and 5,255.02 is: 7,883.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.02 : 11,164.90 = 5,255.02 : x
  2. Step 2: Convert to fraction form
    7,442.02/11,164.90 = 5,255.02/x
  3. Step 3: Cross multiply
    7,442.02x = 11,164.90 × 5,255.02
  4. Step 4: Simplify right side
    7,442.02x = 58,671,772.80
  5. Step 5: Solve for x
    x = 58,671,772.80/7,442.02
  6. Step 6: Final answer
    x = 7,883.85

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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.