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Finding the Fourth Proportional to 6,938.69, 10,409.58 and 2,008.71

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Solution

The fourth proportional to 6,938.69, 10,409.58 and 2,008.71 is: 3,013.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.69 : 10,409.58 = 2,008.71 : x
  2. Step 2: Convert to fraction form
    6,938.69/10,409.58 = 2,008.71/x
  3. Step 3: Cross multiply
    6,938.69x = 10,409.58 × 2,008.71
  4. Step 4: Simplify right side
    6,938.69x = 20,909,827.44
  5. Step 5: Solve for x
    x = 20,909,827.44/6,938.69
  6. Step 6: Final answer
    x = 3,013.51

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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.