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Finding the Fourth Proportional to 7,942.96, 11,901.48 and 4,042

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Solution

The fourth proportional to 7,942.96, 11,901.48 and 4,042 is: 6,056.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,942.96 : 11,901.48 = 4,042 : x
  2. Step 2: Convert to fraction form
    7,942.96/11,901.48 = 4,042/x
  3. Step 3: Cross multiply
    7,942.96x = 11,901.48 × 4,042
  4. Step 4: Simplify right side
    7,942.96x = 48,105,782.16
  5. Step 5: Solve for x
    x = 48,105,782.16/7,942.96
  6. Step 6: Final answer
    x = 6,056.40

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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.