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Finding the Fourth Proportional to 8,235.74, 12,353.34 and 2,392.22

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Solution

The fourth proportional to 8,235.74, 12,353.34 and 2,392.22 is: 3,588.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.74 : 12,353.34 = 2,392.22 : x
  2. Step 2: Convert to fraction form
    8,235.74/12,353.34 = 2,392.22/x
  3. Step 3: Cross multiply
    8,235.74x = 12,353.34 × 2,392.22
  4. Step 4: Simplify right side
    8,235.74x = 29,551,907.01
  5. Step 5: Solve for x
    x = 29,551,907.01/8,235.74
  6. Step 6: Final answer
    x = 3,588.25

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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.