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Finding the Fourth Proportional to 6,712.32, 10,064.16 and 5,725.44

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Solution

The fourth proportional to 6,712.32, 10,064.16 and 5,725.44 is: 8,584.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.32 : 10,064.16 = 5,725.44 : x
  2. Step 2: Convert to fraction form
    6,712.32/10,064.16 = 5,725.44/x
  3. Step 3: Cross multiply
    6,712.32x = 10,064.16 × 5,725.44
  4. Step 4: Simplify right side
    6,712.32x = 57,621,744.23
  5. Step 5: Solve for x
    x = 57,621,744.23/6,712.32
  6. Step 6: Final answer
    x = 8,584.48

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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.