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Finding the Fourth Proportional to 8,415.72, 12,624.10 and 3,485.75

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Solution

The fourth proportional to 8,415.72, 12,624.10 and 3,485.75 is: 5,228.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415.72 : 12,624.10 = 3,485.75 : x
  2. Step 2: Convert to fraction form
    8,415.72/12,624.10 = 3,485.75/x
  3. Step 3: Cross multiply
    8,415.72x = 12,624.10 × 3,485.75
  4. Step 4: Simplify right side
    8,415.72x = 44,004,384.74
  5. Step 5: Solve for x
    x = 44,004,384.74/8,415.72
  6. Step 6: Final answer
    x = 5,228.83

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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.