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Finding the Fourth Proportional to 10,466.75, 14,444.63 and 5,751.14

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Solution

The fourth proportional to 10,466.75, 14,444.63 and 5,751.14 is: 7,936.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.75 : 14,444.63 = 5,751.14 : x
  2. Step 2: Convert to fraction form
    10,466.75/14,444.63 = 5,751.14/x
  3. Step 3: Cross multiply
    10,466.75x = 14,444.63 × 5,751.14
  4. Step 4: Simplify right side
    10,466.75x = 83,073,009.97
  5. Step 5: Solve for x
    x = 83,073,009.97/10,466.75
  6. Step 6: Final answer
    x = 7,936.85

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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.