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Finding the Fourth Proportional to 7,524.41, 10,383.71 and 4,167.15

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Solution

The fourth proportional to 7,524.41, 10,383.71 and 4,167.15 is: 5,750.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524.41 : 10,383.71 = 4,167.15 : x
  2. Step 2: Convert to fraction form
    7,524.41/10,383.71 = 4,167.15/x
  3. Step 3: Cross multiply
    7,524.41x = 10,383.71 × 4,167.15
  4. Step 4: Simplify right side
    7,524.41x = 43,270,477.13
  5. Step 5: Solve for x
    x = 43,270,477.13/7,524.41
  6. Step 6: Final answer
    x = 5,750.68

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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.