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Finding the Fourth Proportional to 8,036.06, 12,033.13 and 6,467.50

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Solution

The fourth proportional to 8,036.06, 12,033.13 and 6,467.50 is: 9,684.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,036.06 : 12,033.13 = 6,467.50 : x
  2. Step 2: Convert to fraction form
    8,036.06/12,033.13 = 6,467.50/x
  3. Step 3: Cross multiply
    8,036.06x = 12,033.13 × 6,467.50
  4. Step 4: Simplify right side
    8,036.06x = 77,824,268.28
  5. Step 5: Solve for x
    x = 77,824,268.28/8,036.06
  6. Step 6: Final answer
    x = 9,684.38

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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.