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Finding the Fourth Proportional to 8,464.04, 12,698.70 and 4,080.74

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Solution

The fourth proportional to 8,464.04, 12,698.70 and 4,080.74 is: 6,122.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.04 : 12,698.70 = 4,080.74 : x
  2. Step 2: Convert to fraction form
    8,464.04/12,698.70 = 4,080.74/x
  3. Step 3: Cross multiply
    8,464.04x = 12,698.70 × 4,080.74
  4. Step 4: Simplify right side
    8,464.04x = 51,820,093.04
  5. Step 5: Solve for x
    x = 51,820,093.04/8,464.04
  6. Step 6: Final answer
    x = 6,122.38

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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.