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Finding the Fourth Proportional to 10,759.64, 14,844.14 and 7,933.70

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Solution

The fourth proportional to 10,759.64, 14,844.14 and 7,933.70 is: 10,945.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759.64 : 14,844.14 = 7,933.70 : x
  2. Step 2: Convert to fraction form
    10,759.64/14,844.14 = 7,933.70/x
  3. Step 3: Cross multiply
    10,759.64x = 14,844.14 × 7,933.70
  4. Step 4: Simplify right side
    10,759.64x = 117,768,839.63
  5. Step 5: Solve for x
    x = 117,768,839.63/10,759.64
  6. Step 6: Final answer
    x = 10,945.43

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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.