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Finding the Fourth Proportional to 8,156.35, 12,228.53 and 2,606.49

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Solution

The fourth proportional to 8,156.35, 12,228.53 and 2,606.49 is: 3,907.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.35 : 12,228.53 = 2,606.49 : x
  2. Step 2: Convert to fraction form
    8,156.35/12,228.53 = 2,606.49/x
  3. Step 3: Cross multiply
    8,156.35x = 12,228.53 × 2,606.49
  4. Step 4: Simplify right side
    8,156.35x = 31,873,501.07
  5. Step 5: Solve for x
    x = 31,873,501.07/8,156.35
  6. Step 6: Final answer
    x = 3,907.82

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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.