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Finding the Fourth Proportional to 7,162.32, 10,735.74 and 3,004.59

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Solution

The fourth proportional to 7,162.32, 10,735.74 and 3,004.59 is: 4,503.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.32 : 10,735.74 = 3,004.59 : x
  2. Step 2: Convert to fraction form
    7,162.32/10,735.74 = 3,004.59/x
  3. Step 3: Cross multiply
    7,162.32x = 10,735.74 × 3,004.59
  4. Step 4: Simplify right side
    7,162.32x = 32,256,537.31
  5. Step 5: Solve for x
    x = 32,256,537.31/7,162.32
  6. Step 6: Final answer
    x = 4,503.64

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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.