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Finding the Fourth Proportional to 10,615.26, 14,649.48 and 5,899.44

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Solution

The fourth proportional to 10,615.26, 14,649.48 and 5,899.44 is: 8,141.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.26 : 14,649.48 = 5,899.44 : x
  2. Step 2: Convert to fraction form
    10,615.26/14,649.48 = 5,899.44/x
  3. Step 3: Cross multiply
    10,615.26x = 14,649.48 × 5,899.44
  4. Step 4: Simplify right side
    10,615.26x = 86,423,698.79
  5. Step 5: Solve for x
    x = 86,423,698.79/10,615.26
  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.