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Finding the Fourth Proportional to 7,214.64, 10,802.40 and 3,744.60

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Solution

The fourth proportional to 7,214.64, 10,802.40 and 3,744.60 is: 5,606.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.64 : 10,802.40 = 3,744.60 : x
  2. Step 2: Convert to fraction form
    7,214.64/10,802.40 = 3,744.60/x
  3. Step 3: Cross multiply
    7,214.64x = 10,802.40 × 3,744.60
  4. Step 4: Simplify right side
    7,214.64x = 40,450,667.04
  5. Step 5: Solve for x
    x = 40,450,667.04/7,214.64
  6. Step 6: Final answer
    x = 5,606.75

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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.