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Finding the Fourth Proportional to 10,980.93, 16,471.42 and 5,141.64

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Solution

The fourth proportional to 10,980.93, 16,471.42 and 5,141.64 is: 7,712.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.93 : 16,471.42 = 5,141.64 : x
  2. Step 2: Convert to fraction form
    10,980.93/16,471.42 = 5,141.64/x
  3. Step 3: Cross multiply
    10,980.93x = 16,471.42 × 5,141.64
  4. Step 4: Simplify right side
    10,980.93x = 84,690,099.07
  5. Step 5: Solve for x
    x = 84,690,099.07/10,980.93
  6. Step 6: Final answer
    x = 7,712.47

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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.