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Finding the Fourth Proportional to 8,148.96, 12,224.09 and 2,603.09

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Solution

The fourth proportional to 8,148.96, 12,224.09 and 2,603.09 is: 3,904.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148.96 : 12,224.09 = 2,603.09 : x
  2. Step 2: Convert to fraction form
    8,148.96/12,224.09 = 2,603.09/x
  3. Step 3: Cross multiply
    8,148.96x = 12,224.09 × 2,603.09
  4. Step 4: Simplify right side
    8,148.96x = 31,820,443.51
  5. Step 5: Solve for x
    x = 31,820,443.51/8,148.96
  6. Step 6: Final answer
    x = 3,904.85

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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.