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Finding the Fourth Proportional to 7,348.34, 10,140.72 and 3,991.16

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Solution

The fourth proportional to 7,348.34, 10,140.72 and 3,991.16 is: 5,507.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,348.34 : 10,140.72 = 3,991.16 : x
  2. Step 2: Convert to fraction form
    7,348.34/10,140.72 = 3,991.16/x
  3. Step 3: Cross multiply
    7,348.34x = 10,140.72 × 3,991.16
  4. Step 4: Simplify right side
    7,348.34x = 40,473,236.04
  5. Step 5: Solve for x
    x = 40,473,236.04/7,348.34
  6. Step 6: Final answer
    x = 5,507.81

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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.