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Finding the Fourth Proportional to 8,624.64, 12,933.78 and 3,076.50

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Solution

The fourth proportional to 8,624.64, 12,933.78 and 3,076.50 is: 4,613.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,624.64 : 12,933.78 = 3,076.50 : x
  2. Step 2: Convert to fraction form
    8,624.64/12,933.78 = 3,076.50/x
  3. Step 3: Cross multiply
    8,624.64x = 12,933.78 × 3,076.50
  4. Step 4: Simplify right side
    8,624.64x = 39,790,774.17
  5. Step 5: Solve for x
    x = 39,790,774.17/8,624.64
  6. Step 6: Final answer
    x = 4,613.62

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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.