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Finding the Fourth Proportional to 8,026.48, 12,026.76 and 4,942

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Solution

The fourth proportional to 8,026.48, 12,026.76 and 4,942 is: 7,405.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,026.48 : 12,026.76 = 4,942 : x
  2. Step 2: Convert to fraction form
    8,026.48/12,026.76 = 4,942/x
  3. Step 3: Cross multiply
    8,026.48x = 12,026.76 × 4,942
  4. Step 4: Simplify right side
    8,026.48x = 59,436,247.92
  5. Step 5: Solve for x
    x = 59,436,247.92/8,026.48
  6. Step 6: Final answer
    x = 7,405.02

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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.