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Finding the Fourth Proportional to 8,492, 11,719.44 and 4,766.24

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Solution

The fourth proportional to 8,492, 11,719.44 and 4,766.24 is: 6,577.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492 : 11,719.44 = 4,766.24 : x
  2. Step 2: Convert to fraction form
    8,492/11,719.44 = 4,766.24/x
  3. Step 3: Cross multiply
    8,492x = 11,719.44 × 4,766.24
  4. Step 4: Simplify right side
    8,492x = 55,857,663.71
  5. Step 5: Solve for x
    x = 55,857,663.71/8,492
  6. Step 6: Final answer
    x = 6,577.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.