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Finding the Fourth Proportional to 7,894.59, 11,841.03 and 4,192.89

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Solution

The fourth proportional to 7,894.59, 11,841.03 and 4,192.89 is: 6,288.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.59 : 11,841.03 = 4,192.89 : x
  2. Step 2: Convert to fraction form
    7,894.59/11,841.03 = 4,192.89/x
  3. Step 3: Cross multiply
    7,894.59x = 11,841.03 × 4,192.89
  4. Step 4: Simplify right side
    7,894.59x = 49,648,136.28
  5. Step 5: Solve for x
    x = 49,648,136.28/7,894.59
  6. Step 6: Final answer
    x = 6,288.88

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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.