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Finding the Fourth Proportional to 10,606.56, 14,643.63 and 6,836.22

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Solution

The fourth proportional to 10,606.56, 14,643.63 and 6,836.22 is: 9,438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.56 : 14,643.63 = 6,836.22 : x
  2. Step 2: Convert to fraction form
    10,606.56/14,643.63 = 6,836.22/x
  3. Step 3: Cross multiply
    10,606.56x = 14,643.63 × 6,836.22
  4. Step 4: Simplify right side
    10,606.56x = 100,107,076.28
  5. Step 5: Solve for x
    x = 100,107,076.28/10,606.56
  6. Step 6: Final answer
    x = 9,438.22

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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.