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Finding the Fourth Proportional to 10,871.29, 16,303.67 and 4,206.61

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Solution

The fourth proportional to 10,871.29, 16,303.67 and 4,206.61 is: 6,308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.29 : 16,303.67 = 4,206.61 : x
  2. Step 2: Convert to fraction form
    10,871.29/16,303.67 = 4,206.61/x
  3. Step 3: Cross multiply
    10,871.29x = 16,303.67 × 4,206.61
  4. Step 4: Simplify right side
    10,871.29x = 68,583,078.71
  5. Step 5: Solve for x
    x = 68,583,078.71/10,871.29
  6. Step 6: Final answer
    x = 6,308.65

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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.