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Finding the Fourth Proportional to 10,490.73, 14,476.78 and 6,014.22

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Solution

The fourth proportional to 10,490.73, 14,476.78 and 6,014.22 is: 8,299.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.73 : 14,476.78 = 6,014.22 : x
  2. Step 2: Convert to fraction form
    10,490.73/14,476.78 = 6,014.22/x
  3. Step 3: Cross multiply
    10,490.73x = 14,476.78 × 6,014.22
  4. Step 4: Simplify right side
    10,490.73x = 87,066,459.21
  5. Step 5: Solve for x
    x = 87,066,459.21/10,490.73
  6. Step 6: Final answer
    x = 8,299.37

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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.