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Finding the Fourth Proportional to 8,322.84, 12,486.78 and 3,640.64

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Solution

The fourth proportional to 8,322.84, 12,486.78 and 3,640.64 is: 5,462.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.84 : 12,486.78 = 3,640.64 : x
  2. Step 2: Convert to fraction form
    8,322.84/12,486.78 = 3,640.64/x
  3. Step 3: Cross multiply
    8,322.84x = 12,486.78 × 3,640.64
  4. Step 4: Simplify right side
    8,322.84x = 45,459,808.31
  5. Step 5: Solve for x
    x = 45,459,808.31/8,322.84
  6. Step 6: Final answer
    x = 5,462.05

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