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Finding the Fourth Proportional to 10,468.40, 15,700.96 and 6,796.66

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Solution

The fourth proportional to 10,468.40, 15,700.96 and 6,796.66 is: 10,193.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.40 : 15,700.96 = 6,796.66 : x
  2. Step 2: Convert to fraction form
    10,468.40/15,700.96 = 6,796.66/x
  3. Step 3: Cross multiply
    10,468.40x = 15,700.96 × 6,796.66
  4. Step 4: Simplify right side
    10,468.40x = 106,714,086.79
  5. Step 5: Solve for x
    x = 106,714,086.79/10,468.40
  6. Step 6: Final answer
    x = 10,193.93

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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.