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Finding the Fourth Proportional to 8,340.68, 12,525.34 and 7,405.74

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Solution

The fourth proportional to 8,340.68, 12,525.34 and 7,405.74 is: 11,121.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.68 : 12,525.34 = 7,405.74 : x
  2. Step 2: Convert to fraction form
    8,340.68/12,525.34 = 7,405.74/x
  3. Step 3: Cross multiply
    8,340.68x = 12,525.34 × 7,405.74
  4. Step 4: Simplify right side
    8,340.68x = 92,759,392.94
  5. Step 5: Solve for x
    x = 92,759,392.94/8,340.68
  6. Step 6: Final answer
    x = 11,121.32

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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.