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Finding the Fourth Proportional to 7,415.92, 11,142.48 and 4,785.04

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Solution

The fourth proportional to 7,415.92, 11,142.48 and 4,785.04 is: 7,189.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,415.92 : 11,142.48 = 4,785.04 : x
  2. Step 2: Convert to fraction form
    7,415.92/11,142.48 = 4,785.04/x
  3. Step 3: Cross multiply
    7,415.92x = 11,142.48 × 4,785.04
  4. Step 4: Simplify right side
    7,415.92x = 53,317,212.50
  5. Step 5: Solve for x
    x = 53,317,212.50/7,415.92
  6. Step 6: Final answer
    x = 7,189.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.