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Finding the Fourth Proportional to 10,468.14, 15,700.59 and 6,796.41

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Solution

The fourth proportional to 10,468.14, 15,700.59 and 6,796.41 is: 10,193.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.14 : 15,700.59 = 6,796.41 : x
  2. Step 2: Convert to fraction form
    10,468.14/15,700.59 = 6,796.41/x
  3. Step 3: Cross multiply
    10,468.14x = 15,700.59 × 6,796.41
  4. Step 4: Simplify right side
    10,468.14x = 106,707,646.88
  5. Step 5: Solve for x
    x = 106,707,646.88/10,468.14
  6. Step 6: Final answer
    x = 10,193.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.