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Finding the Fourth Proportional to 8,352.25, 12,527.02 and 2,507.83

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Solution

The fourth proportional to 8,352.25, 12,527.02 and 2,507.83 is: 3,761.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,352.25 : 12,527.02 = 2,507.83 : x
  2. Step 2: Convert to fraction form
    8,352.25/12,527.02 = 2,507.83/x
  3. Step 3: Cross multiply
    8,352.25x = 12,527.02 × 2,507.83
  4. Step 4: Simplify right side
    8,352.25x = 31,415,636.57
  5. Step 5: Solve for x
    x = 31,415,636.57/8,352.25
  6. Step 6: Final answer
    x = 3,761.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.