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Finding the Fourth Proportional to 7,850.47, 10,832.50 and 4,492.75

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Solution

The fourth proportional to 7,850.47, 10,832.50 and 4,492.75 is: 6,199.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.47 : 10,832.50 = 4,492.75 : x
  2. Step 2: Convert to fraction form
    7,850.47/10,832.50 = 4,492.75/x
  3. Step 3: Cross multiply
    7,850.47x = 10,832.50 × 4,492.75
  4. Step 4: Simplify right side
    7,850.47x = 48,667,691.91
  5. Step 5: Solve for x
    x = 48,667,691.91/7,850.47
  6. Step 6: Final answer
    x = 6,199.33

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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.