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Finding the Fourth Proportional to 8,185.64, 12,268.14 and 4,437.28

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Solution

The fourth proportional to 8,185.64, 12,268.14 and 4,437.28 is: 6,650.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.64 : 12,268.14 = 4,437.28 : x
  2. Step 2: Convert to fraction form
    8,185.64/12,268.14 = 4,437.28/x
  3. Step 3: Cross multiply
    8,185.64x = 12,268.14 × 4,437.28
  4. Step 4: Simplify right side
    8,185.64x = 54,437,172.26
  5. Step 5: Solve for x
    x = 54,437,172.26/8,185.64
  6. Step 6: Final answer
    x = 6,650.33

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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.