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Finding the Fourth Proportional to 8,146.43, 12,220.70 and 2,303.19

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Solution

The fourth proportional to 8,146.43, 12,220.70 and 2,303.19 is: 3,455.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.43 : 12,220.70 = 2,303.19 : x
  2. Step 2: Convert to fraction form
    8,146.43/12,220.70 = 2,303.19/x
  3. Step 3: Cross multiply
    8,146.43x = 12,220.70 × 2,303.19
  4. Step 4: Simplify right side
    8,146.43x = 28,146,582.52
  5. Step 5: Solve for x
    x = 28,146,582.52/8,146.43
  6. Step 6: Final answer
    x = 3,455.08

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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.