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Finding the Fourth Proportional to 10,331.16, 14,256.99 and 5,615.43

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Solution

The fourth proportional to 10,331.16, 14,256.99 and 5,615.43 is: 7,749.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,331.16 : 14,256.99 = 5,615.43 : x
  2. Step 2: Convert to fraction form
    10,331.16/14,256.99 = 5,615.43/x
  3. Step 3: Cross multiply
    10,331.16x = 14,256.99 × 5,615.43
  4. Step 4: Simplify right side
    10,331.16x = 80,059,129.36
  5. Step 5: Solve for x
    x = 80,059,129.36/10,331.16
  6. Step 6: Final answer
    x = 7,749.29

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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.