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Finding the Fourth Proportional to 8,154.29, 12,230.39 and 2,607.17

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Solution

The fourth proportional to 8,154.29, 12,230.39 and 2,607.17 is: 3,910.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.29 : 12,230.39 = 2,607.17 : x
  2. Step 2: Convert to fraction form
    8,154.29/12,230.39 = 2,607.17/x
  3. Step 3: Cross multiply
    8,154.29x = 12,230.39 × 2,607.17
  4. Step 4: Simplify right side
    8,154.29x = 31,886,631.71
  5. Step 5: Solve for x
    x = 31,886,631.71/8,154.29
  6. Step 6: Final answer
    x = 3,910.41

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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.