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Finding the Fourth Proportional to 10,867.49, 16,302.42 and 3,470.21

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Solution

The fourth proportional to 10,867.49, 16,302.42 and 3,470.21 is: 5,205.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,867.49 : 16,302.42 = 3,470.21 : x
  2. Step 2: Convert to fraction form
    10,867.49/16,302.42 = 3,470.21/x
  3. Step 3: Cross multiply
    10,867.49x = 16,302.42 × 3,470.21
  4. Step 4: Simplify right side
    10,867.49x = 56,572,820.91
  5. Step 5: Solve for x
    x = 56,572,820.91/10,867.49
  6. Step 6: Final answer
    x = 5,205.69

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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.