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Finding the Fourth Proportional to 10,444.94, 14,414.77 and 5,968.59

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Solution

The fourth proportional to 10,444.94, 14,414.77 and 5,968.59 is: 8,237.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.94 : 14,414.77 = 5,968.59 : x
  2. Step 2: Convert to fraction form
    10,444.94/14,414.77 = 5,968.59/x
  3. Step 3: Cross multiply
    10,444.94x = 14,414.77 × 5,968.59
  4. Step 4: Simplify right side
    10,444.94x = 86,035,852.07
  5. Step 5: Solve for x
    x = 86,035,852.07/10,444.94
  6. Step 6: Final answer
    x = 8,237.08

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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.