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Finding the Fourth Proportional to 11,541.81, 17,343.98 and 6,280.71

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Solution

The fourth proportional to 11,541.81, 17,343.98 and 6,280.71 is: 9,438.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,541.81 : 17,343.98 = 6,280.71 : x
  2. Step 2: Convert to fraction form
    11,541.81/17,343.98 = 6,280.71/x
  3. Step 3: Cross multiply
    11,541.81x = 17,343.98 × 6,280.71
  4. Step 4: Simplify right side
    11,541.81x = 108,932,477.22
  5. Step 5: Solve for x
    x = 108,932,477.22/11,541.81
  6. Step 6: Final answer
    x = 9,438.08

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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.