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Finding the Fourth Proportional to 10,028.42, 13,834.62 and 6,492.77

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Solution

The fourth proportional to 10,028.42, 13,834.62 and 6,492.77 is: 8,957.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,028.42 : 13,834.62 = 6,492.77 : x
  2. Step 2: Convert to fraction form
    10,028.42/13,834.62 = 6,492.77/x
  3. Step 3: Cross multiply
    10,028.42x = 13,834.62 × 6,492.77
  4. Step 4: Simplify right side
    10,028.42x = 89,824,936.52
  5. Step 5: Solve for x
    x = 89,824,936.52/10,028.42
  6. Step 6: Final answer
    x = 8,957.04

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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.