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Finding the Fourth Proportional to 7,861.58, 11,794.10 and 2,598.20

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Solution

The fourth proportional to 7,861.58, 11,794.10 and 2,598.20 is: 3,897.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.58 : 11,794.10 = 2,598.20 : x
  2. Step 2: Convert to fraction form
    7,861.58/11,794.10 = 2,598.20/x
  3. Step 3: Cross multiply
    7,861.58x = 11,794.10 × 2,598.20
  4. Step 4: Simplify right side
    7,861.58x = 30,643,430.62
  5. Step 5: Solve for x
    x = 30,643,430.62/7,861.58
  6. Step 6: Final answer
    x = 3,897.87

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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.