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Finding the Fourth Proportional to 8,464.64, 12,698.44 and 3,537.74

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Solution

The fourth proportional to 8,464.64, 12,698.44 and 3,537.74 is: 5,307.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.64 : 12,698.44 = 3,537.74 : x
  2. Step 2: Convert to fraction form
    8,464.64/12,698.44 = 3,537.74/x
  3. Step 3: Cross multiply
    8,464.64x = 12,698.44 × 3,537.74
  4. Step 4: Simplify right side
    8,464.64x = 44,923,802.03
  5. Step 5: Solve for x
    x = 44,923,802.03/8,464.64
  6. Step 6: Final answer
    x = 5,307.23

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Why These Related Problems?

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