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Finding the Fourth Proportional to 10,448.94, 14,418.06 and 5,971.98

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Solution

The fourth proportional to 10,448.94, 14,418.06 and 5,971.98 is: 8,240.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.94 : 14,418.06 = 5,971.98 : x
  2. Step 2: Convert to fraction form
    10,448.94/14,418.06 = 5,971.98/x
  3. Step 3: Cross multiply
    10,448.94x = 14,418.06 × 5,971.98
  4. Step 4: Simplify right side
    10,448.94x = 86,104,365.96
  5. Step 5: Solve for x
    x = 86,104,365.96/10,448.94
  6. Step 6: Final answer
    x = 8,240.49

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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.