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Finding the Fourth Proportional to 8,050.62, 12,076.02 and 5,294.64

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Solution

The fourth proportional to 8,050.62, 12,076.02 and 5,294.64 is: 7,942.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,050.62 : 12,076.02 = 5,294.64 : x
  2. Step 2: Convert to fraction form
    8,050.62/12,076.02 = 5,294.64/x
  3. Step 3: Cross multiply
    8,050.62x = 12,076.02 × 5,294.64
  4. Step 4: Simplify right side
    8,050.62x = 63,938,178.53
  5. Step 5: Solve for x
    x = 63,938,178.53/8,050.62
  6. Step 6: Final answer
    x = 7,942.02

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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.