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Finding the Fourth Proportional to 8,098.85, 12,154.76 and 4,204.37

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Solution

The fourth proportional to 8,098.85, 12,154.76 and 4,204.37 is: 6,309.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.85 : 12,154.76 = 4,204.37 : x
  2. Step 2: Convert to fraction form
    8,098.85/12,154.76 = 4,204.37/x
  3. Step 3: Cross multiply
    8,098.85x = 12,154.76 × 4,204.37
  4. Step 4: Simplify right side
    8,098.85x = 51,103,026.51
  5. Step 5: Solve for x
    x = 51,103,026.51/8,098.85
  6. Step 6: Final answer
    x = 6,309.92

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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.