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Finding the Fourth Proportional to 8,146.33, 12,219.24 and 2,302.93

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Solution

The fourth proportional to 8,146.33, 12,219.24 and 2,302.93 is: 3,454.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.33 : 12,219.24 = 2,302.93 : x
  2. Step 2: Convert to fraction form
    8,146.33/12,219.24 = 2,302.93/x
  3. Step 3: Cross multiply
    8,146.33x = 12,219.24 × 2,302.93
  4. Step 4: Simplify right side
    8,146.33x = 28,140,054.37
  5. Step 5: Solve for x
    x = 28,140,054.37/8,146.33
  6. Step 6: Final answer
    x = 3,454.32

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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.