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Finding the Fourth Proportional to 8,431.64, 11,636.32 and 6,203.74

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Solution

The fourth proportional to 8,431.64, 11,636.32 and 6,203.74 is: 8,561.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.64 : 11,636.32 = 6,203.74 : x
  2. Step 2: Convert to fraction form
    8,431.64/11,636.32 = 6,203.74/x
  3. Step 3: Cross multiply
    8,431.64x = 11,636.32 × 6,203.74
  4. Step 4: Simplify right side
    8,431.64x = 72,188,703.84
  5. Step 5: Solve for x
    x = 72,188,703.84/8,431.64
  6. Step 6: Final answer
    x = 8,561.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.