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Finding the Fourth Proportional to 8,416.25, 12,624.69 and 3,150.70

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Solution

The fourth proportional to 8,416.25, 12,624.69 and 3,150.70 is: 4,726.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.25 : 12,624.69 = 3,150.70 : x
  2. Step 2: Convert to fraction form
    8,416.25/12,624.69 = 3,150.70/x
  3. Step 3: Cross multiply
    8,416.25x = 12,624.69 × 3,150.70
  4. Step 4: Simplify right side
    8,416.25x = 39,776,610.78
  5. Step 5: Solve for x
    x = 39,776,610.78/8,416.25
  6. Step 6: Final answer
    x = 4,726.17

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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.