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Finding the Fourth Proportional to 10,806.28, 14,902.74 and 6,820.48

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Solution

The fourth proportional to 10,806.28, 14,902.74 and 6,820.48 is: 9,406.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.28 : 14,902.74 = 6,820.48 : x
  2. Step 2: Convert to fraction form
    10,806.28/14,902.74 = 6,820.48/x
  3. Step 3: Cross multiply
    10,806.28x = 14,902.74 × 6,820.48
  4. Step 4: Simplify right side
    10,806.28x = 101,643,840.12
  5. Step 5: Solve for x
    x = 101,643,840.12/10,806.28
  6. Step 6: Final answer
    x = 9,406.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.