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Finding the Fourth Proportional to 8,154.26, 12,235.94 and 7,527.32

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Solution

The fourth proportional to 8,154.26, 12,235.94 and 7,527.32 is: 11,295.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.26 : 12,235.94 = 7,527.32 : x
  2. Step 2: Convert to fraction form
    8,154.26/12,235.94 = 7,527.32/x
  3. Step 3: Cross multiply
    8,154.26x = 12,235.94 × 7,527.32
  4. Step 4: Simplify right side
    8,154.26x = 92,103,835.88
  5. Step 5: Solve for x
    x = 92,103,835.88/8,154.26
  6. Step 6: Final answer
    x = 11,295.18

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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.