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Finding the Fourth Proportional to 10,097, 13,933.88 and 5,681

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Solution

The fourth proportional to 10,097, 13,933.88 and 5,681 is: 7,839.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097 : 13,933.88 = 5,681 : x
  2. Step 2: Convert to fraction form
    10,097/13,933.88 = 5,681/x
  3. Step 3: Cross multiply
    10,097x = 13,933.88 × 5,681
  4. Step 4: Simplify right side
    10,097x = 79,158,372.28
  5. Step 5: Solve for x
    x = 79,158,372.28/10,097
  6. Step 6: Final answer
    x = 7,839.79

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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.