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Finding the Fourth Proportional to 7,524.42, 10,384.07 and 4,167.60

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Solution

The fourth proportional to 7,524.42, 10,384.07 and 4,167.60 is: 5,751.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524.42 : 10,384.07 = 4,167.60 : x
  2. Step 2: Convert to fraction form
    7,524.42/10,384.07 = 4,167.60/x
  3. Step 3: Cross multiply
    7,524.42x = 10,384.07 × 4,167.60
  4. Step 4: Simplify right side
    7,524.42x = 43,276,629.29
  5. Step 5: Solve for x
    x = 43,276,629.29/7,524.42
  6. Step 6: Final answer
    x = 5,751.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.