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Finding the Fourth Proportional to 8,573.44, 12,858.36 and 2,416

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Solution

The fourth proportional to 8,573.44, 12,858.36 and 2,416 is: 3,623.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,573.44 : 12,858.36 = 2,416 : x
  2. Step 2: Convert to fraction form
    8,573.44/12,858.36 = 2,416/x
  3. Step 3: Cross multiply
    8,573.44x = 12,858.36 × 2,416
  4. Step 4: Simplify right side
    8,573.44x = 31,065,797.76
  5. Step 5: Solve for x
    x = 31,065,797.76/8,573.44
  6. Step 6: Final answer
    x = 3,623.49

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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.