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Finding the Fourth Proportional to 10,670.33, 14,725.19 and 6,194.27

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Solution

The fourth proportional to 10,670.33, 14,725.19 and 6,194.27 is: 8,548.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670.33 : 14,725.19 = 6,194.27 : x
  2. Step 2: Convert to fraction form
    10,670.33/14,725.19 = 6,194.27/x
  3. Step 3: Cross multiply
    10,670.33x = 14,725.19 × 6,194.27
  4. Step 4: Simplify right side
    10,670.33x = 91,211,854.96
  5. Step 5: Solve for x
    x = 91,211,854.96/10,670.33
  6. Step 6: Final answer
    x = 8,548.17

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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.