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Finding the Fourth Proportional to 8,624.16, 12,936.24 and 3,077.28

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Solution

The fourth proportional to 8,624.16, 12,936.24 and 3,077.28 is: 4,615.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,624.16 : 12,936.24 = 3,077.28 : x
  2. Step 2: Convert to fraction form
    8,624.16/12,936.24 = 3,077.28/x
  3. Step 3: Cross multiply
    8,624.16x = 12,936.24 × 3,077.28
  4. Step 4: Simplify right side
    8,624.16x = 39,808,432.63
  5. Step 5: Solve for x
    x = 39,808,432.63/8,624.16
  6. Step 6: Final answer
    x = 4,615.92

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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.