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Finding the Fourth Proportional to 7,992.75, 11,031.42 and 5,011.14

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Solution

The fourth proportional to 7,992.75, 11,031.42 and 5,011.14 is: 6,916.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,992.75 : 11,031.42 = 5,011.14 : x
  2. Step 2: Convert to fraction form
    7,992.75/11,031.42 = 5,011.14/x
  3. Step 3: Cross multiply
    7,992.75x = 11,031.42 × 5,011.14
  4. Step 4: Simplify right side
    7,992.75x = 55,279,990.02
  5. Step 5: Solve for x
    x = 55,279,990.02/7,992.75
  6. Step 6: Final answer
    x = 6,916.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.