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Finding the Fourth Proportional to 12,752.21, 17,599.69 and 7,164.29

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Solution

The fourth proportional to 12,752.21, 17,599.69 and 7,164.29 is: 9,887.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,752.21 : 17,599.69 = 7,164.29 : x
  2. Step 2: Convert to fraction form
    12,752.21/17,599.69 = 7,164.29/x
  3. Step 3: Cross multiply
    12,752.21x = 17,599.69 × 7,164.29
  4. Step 4: Simplify right side
    12,752.21x = 126,089,336.41
  5. Step 5: Solve for x
    x = 126,089,336.41/12,752.21
  6. Step 6: Final answer
    x = 9,887.64

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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.