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Finding the Fourth Proportional to 8,492.98, 12,735.47 and 3,152.46

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Solution

The fourth proportional to 8,492.98, 12,735.47 and 3,152.46 is: 4,727.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.98 : 12,735.47 = 3,152.46 : x
  2. Step 2: Convert to fraction form
    8,492.98/12,735.47 = 3,152.46/x
  3. Step 3: Cross multiply
    8,492.98x = 12,735.47 × 3,152.46
  4. Step 4: Simplify right side
    8,492.98x = 40,148,099.14
  5. Step 5: Solve for x
    x = 40,148,099.14/8,492.98
  6. Step 6: Final answer
    x = 4,727.21

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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.