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Finding the Fourth Proportional to 10,728.42, 14,807.10 and 6,190.31

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Solution

The fourth proportional to 10,728.42, 14,807.10 and 6,190.31 is: 8,543.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.42 : 14,807.10 = 6,190.31 : x
  2. Step 2: Convert to fraction form
    10,728.42/14,807.10 = 6,190.31/x
  3. Step 3: Cross multiply
    10,728.42x = 14,807.10 × 6,190.31
  4. Step 4: Simplify right side
    10,728.42x = 91,660,465.17
  5. Step 5: Solve for x
    x = 91,660,465.17/10,728.42
  6. Step 6: Final answer
    x = 8,543.71

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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.