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Finding the Fourth Proportional to 7,523.64, 10,367.46 and 6,206.58

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Solution

The fourth proportional to 7,523.64, 10,367.46 and 6,206.58 is: 8,552.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.64 : 10,367.46 = 6,206.58 : x
  2. Step 2: Convert to fraction form
    7,523.64/10,367.46 = 6,206.58/x
  3. Step 3: Cross multiply
    7,523.64x = 10,367.46 × 6,206.58
  4. Step 4: Simplify right side
    7,523.64x = 64,346,469.89
  5. Step 5: Solve for x
    x = 64,346,469.89/7,523.64
  6. Step 6: Final answer
    x = 8,552.57

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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.