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Finding the Fourth Proportional to 10,714.16, 14,771.37 and 8,792.97

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Solution

The fourth proportional to 10,714.16, 14,771.37 and 8,792.97 is: 12,122.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.16 : 14,771.37 = 8,792.97 : x
  2. Step 2: Convert to fraction form
    10,714.16/14,771.37 = 8,792.97/x
  3. Step 3: Cross multiply
    10,714.16x = 14,771.37 × 8,792.97
  4. Step 4: Simplify right side
    10,714.16x = 129,884,213.27
  5. Step 5: Solve for x
    x = 129,884,213.27/10,714.16
  6. Step 6: Final answer
    x = 12,122.67

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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.