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Finding the Fourth Proportional to 8,648.48, 12,974.64 and 2,492

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Solution

The fourth proportional to 8,648.48, 12,974.64 and 2,492 is: 3,738.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,648.48 : 12,974.64 = 2,492 : x
  2. Step 2: Convert to fraction form
    8,648.48/12,974.64 = 2,492/x
  3. Step 3: Cross multiply
    8,648.48x = 12,974.64 × 2,492
  4. Step 4: Simplify right side
    8,648.48x = 32,332,802.88
  5. Step 5: Solve for x
    x = 32,332,802.88/8,648.48
  6. Step 6: Final answer
    x = 3,738.55

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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.