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Finding the Fourth Proportional to 8,492.16, 12,744.16 and 3,020.16

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Solution

The fourth proportional to 8,492.16, 12,744.16 and 3,020.16 is: 4,532.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.16 : 12,744.16 = 3,020.16 : x
  2. Step 2: Convert to fraction form
    8,492.16/12,744.16 = 3,020.16/x
  3. Step 3: Cross multiply
    8,492.16x = 12,744.16 × 3,020.16
  4. Step 4: Simplify right side
    8,492.16x = 38,489,402.27
  5. Step 5: Solve for x
    x = 38,489,402.27/8,492.16
  6. Step 6: Final answer
    x = 4,532.35

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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.