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Finding the Fourth Proportional to 7,900.36, 11,842.12 and 5,946.52

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Solution

The fourth proportional to 7,900.36, 11,842.12 and 5,946.52 is: 8,913.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,900.36 : 11,842.12 = 5,946.52 : x
  2. Step 2: Convert to fraction form
    7,900.36/11,842.12 = 5,946.52/x
  3. Step 3: Cross multiply
    7,900.36x = 11,842.12 × 5,946.52
  4. Step 4: Simplify right side
    7,900.36x = 70,419,403.42
  5. Step 5: Solve for x
    x = 70,419,403.42/7,900.36
  6. Step 6: Final answer
    x = 8,913.44

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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.