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Finding the Fourth Proportional to 7,902.24, 11,894.10 and 6,949.68

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Solution

The fourth proportional to 7,902.24, 11,894.10 and 6,949.68 is: 10,460.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.24 : 11,894.10 = 6,949.68 : x
  2. Step 2: Convert to fraction form
    7,902.24/11,894.10 = 6,949.68/x
  3. Step 3: Cross multiply
    7,902.24x = 11,894.10 × 6,949.68
  4. Step 4: Simplify right side
    7,902.24x = 82,660,188.89
  5. Step 5: Solve for x
    x = 82,660,188.89/7,902.24
  6. Step 6: Final answer
    x = 10,460.35

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.