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Finding the Fourth Proportional to 8,297.10, 12,441.78 and 4,400.46

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Solution

The fourth proportional to 8,297.10, 12,441.78 and 4,400.46 is: 6,598.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.10 : 12,441.78 = 4,400.46 : x
  2. Step 2: Convert to fraction form
    8,297.10/12,441.78 = 4,400.46/x
  3. Step 3: Cross multiply
    8,297.10x = 12,441.78 × 4,400.46
  4. Step 4: Simplify right side
    8,297.10x = 54,749,555.22
  5. Step 5: Solve for x
    x = 54,749,555.22/8,297.10
  6. Step 6: Final answer
    x = 6,598.64

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