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Finding the Fourth Proportional to 10,669.46, 14,728.83 and 6,192.34

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Solution

The fourth proportional to 10,669.46, 14,728.83 and 6,192.34 is: 8,548.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,669.46 : 14,728.83 = 6,192.34 : x
  2. Step 2: Convert to fraction form
    10,669.46/14,728.83 = 6,192.34/x
  3. Step 3: Cross multiply
    10,669.46x = 14,728.83 × 6,192.34
  4. Step 4: Simplify right side
    10,669.46x = 91,205,863.12
  5. Step 5: Solve for x
    x = 91,205,863.12/10,669.46
  6. Step 6: Final answer
    x = 8,548.32

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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.