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Finding the Fourth Proportional to 7,052.87, 9,729.83 and 4,534.52

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Solution

The fourth proportional to 7,052.87, 9,729.83 and 4,534.52 is: 6,255.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.87 : 9,729.83 = 4,534.52 : x
  2. Step 2: Convert to fraction form
    7,052.87/9,729.83 = 4,534.52/x
  3. Step 3: Cross multiply
    7,052.87x = 9,729.83 × 4,534.52
  4. Step 4: Simplify right side
    7,052.87x = 44,120,071.42
  5. Step 5: Solve for x
    x = 44,120,071.42/7,052.87
  6. Step 6: Final answer
    x = 6,255.62

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Why These Related Problems?

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