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Finding the Fourth Proportional to 10,447.98, 14,419.48 and 5,971.92

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Solution

The fourth proportional to 10,447.98, 14,419.48 and 5,971.92 is: 8,241.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.98 : 14,419.48 = 5,971.92 : x
  2. Step 2: Convert to fraction form
    10,447.98/14,419.48 = 5,971.92/x
  3. Step 3: Cross multiply
    10,447.98x = 14,419.48 × 5,971.92
  4. Step 4: Simplify right side
    10,447.98x = 86,111,981.00
  5. Step 5: Solve for x
    x = 86,111,981.00/10,447.98
  6. Step 6: Final answer
    x = 8,241.97

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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.