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Finding the Fourth Proportional to 10,446.72, 14,416.86 and 6,199.98

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Solution

The fourth proportional to 10,446.72, 14,416.86 and 6,199.98 is: 8,556.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.72 : 14,416.86 = 6,199.98 : x
  2. Step 2: Convert to fraction form
    10,446.72/14,416.86 = 6,199.98/x
  3. Step 3: Cross multiply
    10,446.72x = 14,416.86 × 6,199.98
  4. Step 4: Simplify right side
    10,446.72x = 89,384,243.66
  5. Step 5: Solve for x
    x = 89,384,243.66/10,446.72
  6. Step 6: Final answer
    x = 8,556.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.