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Finding the Fourth Proportional to 10,394.56, 14,342.16 and 6,202

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Solution

The fourth proportional to 10,394.56, 14,342.16 and 6,202 is: 8,557.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.56 : 14,342.16 = 6,202 : x
  2. Step 2: Convert to fraction form
    10,394.56/14,342.16 = 6,202/x
  3. Step 3: Cross multiply
    10,394.56x = 14,342.16 × 6,202
  4. Step 4: Simplify right side
    10,394.56x = 88,950,076.32
  5. Step 5: Solve for x
    x = 88,950,076.32/10,394.56
  6. Step 6: Final answer
    x = 8,557.37

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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.