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Finding the Fourth Proportional to 12,752.16, 17,597.52 and 7,163.04

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Solution

The fourth proportional to 12,752.16, 17,597.52 and 7,163.04 is: 9,884.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,752.16 : 17,597.52 = 7,163.04 : x
  2. Step 2: Convert to fraction form
    12,752.16/17,597.52 = 7,163.04/x
  3. Step 3: Cross multiply
    12,752.16x = 17,597.52 × 7,163.04
  4. Step 4: Simplify right side
    12,752.16x = 126,051,739.66
  5. Step 5: Solve for x
    x = 126,051,739.66/12,752.16
  6. Step 6: Final answer
    x = 9,884.74

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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.