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Finding the Fourth Proportional to 10,466.25, 14,444.10 and 5,991.45

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Solution

The fourth proportional to 10,466.25, 14,444.10 and 5,991.45 is: 8,268.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.25 : 14,444.10 = 5,991.45 : x
  2. Step 2: Convert to fraction form
    10,466.25/14,444.10 = 5,991.45/x
  3. Step 3: Cross multiply
    10,466.25x = 14,444.10 × 5,991.45
  4. Step 4: Simplify right side
    10,466.25x = 86,541,102.95
  5. Step 5: Solve for x
    x = 86,541,102.95/10,466.25
  6. Step 6: Final answer
    x = 8,268.59

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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.