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Finding the Fourth Proportional to 8,001.02, 12,014.49 and 4,942.46

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Solution

The fourth proportional to 8,001.02, 12,014.49 and 4,942.46 is: 7,421.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.02 : 12,014.49 = 4,942.46 : x
  2. Step 2: Convert to fraction form
    8,001.02/12,014.49 = 4,942.46/x
  3. Step 3: Cross multiply
    8,001.02x = 12,014.49 × 4,942.46
  4. Step 4: Simplify right side
    8,001.02x = 59,381,136.25
  5. Step 5: Solve for x
    x = 59,381,136.25/8,001.02
  6. Step 6: Final answer
    x = 7,421.70

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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.