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Finding the Fourth Proportional to 7,524.92, 10,384.16 and 4,167.60

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Solution

The fourth proportional to 7,524.92, 10,384.16 and 4,167.60 is: 5,751.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524.92 : 10,384.16 = 4,167.60 : x
  2. Step 2: Convert to fraction form
    7,524.92/10,384.16 = 4,167.60/x
  3. Step 3: Cross multiply
    7,524.92x = 10,384.16 × 4,167.60
  4. Step 4: Simplify right side
    7,524.92x = 43,277,025.22
  5. Step 5: Solve for x
    x = 43,277,025.22/7,524.92
  6. Step 6: Final answer
    x = 5,751.16

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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.