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Finding the Fourth Proportional to 8,492.45, 12,746.77 and 5,211.95

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Solution

The fourth proportional to 8,492.45, 12,746.77 and 5,211.95 is: 7,822.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.45 : 12,746.77 = 5,211.95 : x
  2. Step 2: Convert to fraction form
    8,492.45/12,746.77 = 5,211.95/x
  3. Step 3: Cross multiply
    8,492.45x = 12,746.77 × 5,211.95
  4. Step 4: Simplify right side
    8,492.45x = 66,435,451.14
  5. Step 5: Solve for x
    x = 66,435,451.14/8,492.45
  6. Step 6: Final answer
    x = 7,822.89

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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.