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Finding the Fourth Proportional to 15,252.21, 22,892.76 and 7,861.77

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Solution

The fourth proportional to 15,252.21, 22,892.76 and 7,861.77 is: 11,800.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,252.21 : 22,892.76 = 7,861.77 : x
  2. Step 2: Convert to fraction form
    15,252.21/22,892.76 = 7,861.77/x
  3. Step 3: Cross multiply
    15,252.21x = 22,892.76 × 7,861.77
  4. Step 4: Simplify right side
    15,252.21x = 179,977,613.79
  5. Step 5: Solve for x
    x = 179,977,613.79/15,252.21
  6. Step 6: Final answer
    x = 11,800.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.