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Finding the Fourth Proportional to 7,297.56, 10,074.78 and 4,820.76

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Solution

The fourth proportional to 7,297.56, 10,074.78 and 4,820.76 is: 6,655.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.56 : 10,074.78 = 4,820.76 : x
  2. Step 2: Convert to fraction form
    7,297.56/10,074.78 = 4,820.76/x
  3. Step 3: Cross multiply
    7,297.56x = 10,074.78 × 4,820.76
  4. Step 4: Simplify right side
    7,297.56x = 48,568,096.43
  5. Step 5: Solve for x
    x = 48,568,096.43/7,297.56
  6. Step 6: Final answer
    x = 6,655.39

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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.