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Finding the Fourth Proportional to 6,806.18, 10,210.07 and 4,172.46

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Solution

The fourth proportional to 6,806.18, 10,210.07 and 4,172.46 is: 6,259.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.18 : 10,210.07 = 4,172.46 : x
  2. Step 2: Convert to fraction form
    6,806.18/10,210.07 = 4,172.46/x
  3. Step 3: Cross multiply
    6,806.18x = 10,210.07 × 4,172.46
  4. Step 4: Simplify right side
    6,806.18x = 42,601,087.81
  5. Step 5: Solve for x
    x = 42,601,087.81/6,806.18
  6. Step 6: Final answer
    x = 6,259.18

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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.