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Finding the Fourth Proportional to 8,495.60, 12,742.16 and 2,255.99

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Solution

The fourth proportional to 8,495.60, 12,742.16 and 2,255.99 is: 3,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,495.60 : 12,742.16 = 2,255.99 : x
  2. Step 2: Convert to fraction form
    8,495.60/12,742.16 = 2,255.99/x
  3. Step 3: Cross multiply
    8,495.60x = 12,742.16 × 2,255.99
  4. Step 4: Simplify right side
    8,495.60x = 28,746,110.55
  5. Step 5: Solve for x
    x = 28,746,110.55/8,495.60
  6. Step 6: Final answer
    x = 3,383.65

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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.