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Finding the Fourth Proportional to 7,052.92, 10,582.83 and 4,986.20

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Solution

The fourth proportional to 7,052.92, 10,582.83 and 4,986.20 is: 7,481.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.92 : 10,582.83 = 4,986.20 : x
  2. Step 2: Convert to fraction form
    7,052.92/10,582.83 = 4,986.20/x
  3. Step 3: Cross multiply
    7,052.92x = 10,582.83 × 4,986.20
  4. Step 4: Simplify right side
    7,052.92x = 52,768,133.40
  5. Step 5: Solve for x
    x = 52,768,133.40/7,052.92
  6. Step 6: Final answer
    x = 7,481.75

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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.