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Finding the Fourth Proportional to 6,792.42, 10,182.54 and 4,320.30

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Solution

The fourth proportional to 6,792.42, 10,182.54 and 4,320.30 is: 6,476.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,792.42 : 10,182.54 = 4,320.30 : x
  2. Step 2: Convert to fraction form
    6,792.42/10,182.54 = 4,320.30/x
  3. Step 3: Cross multiply
    6,792.42x = 10,182.54 × 4,320.30
  4. Step 4: Simplify right side
    6,792.42x = 43,991,627.56
  5. Step 5: Solve for x
    x = 43,991,627.56/6,792.42
  6. Step 6: Final answer
    x = 6,476.58

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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.