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Finding the Fourth Proportional to 8,415.70, 12,623.04 and 3,734.35

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Solution

The fourth proportional to 8,415.70, 12,623.04 and 3,734.35 is: 5,601.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415.70 : 12,623.04 = 3,734.35 : x
  2. Step 2: Convert to fraction form
    8,415.70/12,623.04 = 3,734.35/x
  3. Step 3: Cross multiply
    8,415.70x = 12,623.04 × 3,734.35
  4. Step 4: Simplify right side
    8,415.70x = 47,138,849.42
  5. Step 5: Solve for x
    x = 47,138,849.42/8,415.70
  6. Step 6: Final answer
    x = 5,601.30

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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.