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Finding the Fourth Proportional to 12,589.11, 17,373.35 and 7,284.32

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Solution

The fourth proportional to 12,589.11, 17,373.35 and 7,284.32 is: 10,052.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,589.11 : 17,373.35 = 7,284.32 : x
  2. Step 2: Convert to fraction form
    12,589.11/17,373.35 = 7,284.32/x
  3. Step 3: Cross multiply
    12,589.11x = 17,373.35 × 7,284.32
  4. Step 4: Simplify right side
    12,589.11x = 126,553,040.87
  5. Step 5: Solve for x
    x = 126,553,040.87/12,589.11
  6. Step 6: Final answer
    x = 10,052.58

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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.