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Finding the Fourth Proportional to 8,492.24, 11,718.07 and 4,954.77

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Solution

The fourth proportional to 8,492.24, 11,718.07 and 4,954.77 is: 6,836.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.24 : 11,718.07 = 4,954.77 : x
  2. Step 2: Convert to fraction form
    8,492.24/11,718.07 = 4,954.77/x
  3. Step 3: Cross multiply
    8,492.24x = 11,718.07 × 4,954.77
  4. Step 4: Simplify right side
    8,492.24x = 58,060,329.31
  5. Step 5: Solve for x
    x = 58,060,329.31/8,492.24
  6. Step 6: Final answer
    x = 6,836.87

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