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Finding the Fourth Proportional to 8,492.55, 12,738.39 and 4,046.96

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Solution

The fourth proportional to 8,492.55, 12,738.39 and 4,046.96 is: 6,070.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.55 : 12,738.39 = 4,046.96 : x
  2. Step 2: Convert to fraction form
    8,492.55/12,738.39 = 4,046.96/x
  3. Step 3: Cross multiply
    8,492.55x = 12,738.39 × 4,046.96
  4. Step 4: Simplify right side
    8,492.55x = 51,551,782.85
  5. Step 5: Solve for x
    x = 51,551,782.85/8,492.55
  6. Step 6: Final answer
    x = 6,070.24

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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.