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Finding the Fourth Proportional to 8,492.92, 12,734.52 and 3,558.40

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Solution

The fourth proportional to 8,492.92, 12,734.52 and 3,558.40 is: 5,335.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.92 : 12,734.52 = 3,558.40 : x
  2. Step 2: Convert to fraction form
    8,492.92/12,734.52 = 3,558.40/x
  3. Step 3: Cross multiply
    8,492.92x = 12,734.52 × 3,558.40
  4. Step 4: Simplify right side
    8,492.92x = 45,314,515.97
  5. Step 5: Solve for x
    x = 45,314,515.97/8,492.92
  6. Step 6: Final answer
    x = 5,335.56

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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.