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Finding the Fourth Proportional to 7,313.31, 10,969.97 and 4,411.89

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Solution

The fourth proportional to 7,313.31, 10,969.97 and 4,411.89 is: 6,617.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,313.31 : 10,969.97 = 4,411.89 : x
  2. Step 2: Convert to fraction form
    7,313.31/10,969.97 = 4,411.89/x
  3. Step 3: Cross multiply
    7,313.31x = 10,969.97 × 4,411.89
  4. Step 4: Simplify right side
    7,313.31x = 48,398,278.88
  5. Step 5: Solve for x
    x = 48,398,278.88/7,313.31
  6. Step 6: Final answer
    x = 6,617.84

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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.