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Finding the Fourth Proportional to 7,152.08, 10,728.42 and 2,709.31

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Solution

The fourth proportional to 7,152.08, 10,728.42 and 2,709.31 is: 4,064.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.08 : 10,728.42 = 2,709.31 : x
  2. Step 2: Convert to fraction form
    7,152.08/10,728.42 = 2,709.31/x
  3. Step 3: Cross multiply
    7,152.08x = 10,728.42 × 2,709.31
  4. Step 4: Simplify right side
    7,152.08x = 29,066,615.59
  5. Step 5: Solve for x
    x = 29,066,615.59/7,152.08
  6. Step 6: Final answer
    x = 4,064.08

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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.