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Finding the Fourth Proportional to 8,416.48, 12,624.24 and 2,260

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Solution

The fourth proportional to 8,416.48, 12,624.24 and 2,260 is: 3,389.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.48 : 12,624.24 = 2,260 : x
  2. Step 2: Convert to fraction form
    8,416.48/12,624.24 = 2,260/x
  3. Step 3: Cross multiply
    8,416.48x = 12,624.24 × 2,260
  4. Step 4: Simplify right side
    8,416.48x = 28,530,782.40
  5. Step 5: Solve for x
    x = 28,530,782.40/8,416.48
  6. Step 6: Final answer
    x = 3,389.87

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Why These Related Problems?

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