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Finding the Fourth Proportional to 8,149.14, 12,223.80 and 2,602.45

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Solution

The fourth proportional to 8,149.14, 12,223.80 and 2,602.45 is: 3,903.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.14 : 12,223.80 = 2,602.45 : x
  2. Step 2: Convert to fraction form
    8,149.14/12,223.80 = 2,602.45/x
  3. Step 3: Cross multiply
    8,149.14x = 12,223.80 × 2,602.45
  4. Step 4: Simplify right side
    8,149.14x = 31,811,828.31
  5. Step 5: Solve for x
    x = 31,811,828.31/8,149.14
  6. Step 6: Final answer
    x = 3,903.70

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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.