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Finding the Fourth Proportional to 8,643.53, 12,967 and 3,095.39

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Solution

The fourth proportional to 8,643.53, 12,967 and 3,095.39 is: 4,643.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.53 : 12,967 = 3,095.39 : x
  2. Step 2: Convert to fraction form
    8,643.53/12,967 = 3,095.39/x
  3. Step 3: Cross multiply
    8,643.53x = 12,967 × 3,095.39
  4. Step 4: Simplify right side
    8,643.53x = 40,137,922.13
  5. Step 5: Solve for x
    x = 40,137,922.13/8,643.53
  6. Step 6: Final answer
    x = 4,643.70

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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.