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Finding the Fourth Proportional to 7,861.80, 11,792.70 and 7,497.30

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Solution

The fourth proportional to 7,861.80, 11,792.70 and 7,497.30 is: 11,245.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.80 : 11,792.70 = 7,497.30 : x
  2. Step 2: Convert to fraction form
    7,861.80/11,792.70 = 7,497.30/x
  3. Step 3: Cross multiply
    7,861.80x = 11,792.70 × 7,497.30
  4. Step 4: Simplify right side
    7,861.80x = 88,413,409.71
  5. Step 5: Solve for x
    x = 88,413,409.71/7,861.80
  6. Step 6: Final answer
    x = 11,245.95

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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.