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Finding the Fourth Proportional to 10,806.71, 16,210.08 and 4,232.03

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Solution

The fourth proportional to 10,806.71, 16,210.08 and 4,232.03 is: 6,348.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.71 : 16,210.08 = 4,232.03 : x
  2. Step 2: Convert to fraction form
    10,806.71/16,210.08 = 4,232.03/x
  3. Step 3: Cross multiply
    10,806.71x = 16,210.08 × 4,232.03
  4. Step 4: Simplify right side
    10,806.71x = 68,601,463.81
  5. Step 5: Solve for x
    x = 68,601,463.81/10,806.71
  6. Step 6: Final answer
    x = 6,348.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.