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Finding the Fourth Proportional to 10,614.89, 14,649.66 and 5,899.16

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Solution

The fourth proportional to 10,614.89, 14,649.66 and 5,899.16 is: 8,141.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.89 : 14,649.66 = 5,899.16 : x
  2. Step 2: Convert to fraction form
    10,614.89/14,649.66 = 5,899.16/x
  3. Step 3: Cross multiply
    10,614.89x = 14,649.66 × 5,899.16
  4. Step 4: Simplify right side
    10,614.89x = 86,420,615.04
  5. Step 5: Solve for x
    x = 86,420,615.04/10,614.89
  6. Step 6: Final answer
    x = 8,141.46

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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.