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Finding the Fourth Proportional to 7,430.64, 11,144.16 and 3,735.12

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Solution

The fourth proportional to 7,430.64, 11,144.16 and 3,735.12 is: 5,601.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,430.64 : 11,144.16 = 3,735.12 : x
  2. Step 2: Convert to fraction form
    7,430.64/11,144.16 = 3,735.12/x
  3. Step 3: Cross multiply
    7,430.64x = 11,144.16 × 3,735.12
  4. Step 4: Simplify right side
    7,430.64x = 41,624,774.90
  5. Step 5: Solve for x
    x = 41,624,774.90/7,430.64
  6. Step 6: Final answer
    x = 5,601.78

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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.