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Finding the Fourth Proportional to 7,082.96, 10,629.90 and 4,894.74

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Solution

The fourth proportional to 7,082.96, 10,629.90 and 4,894.74 is: 7,345.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.96 : 10,629.90 = 4,894.74 : x
  2. Step 2: Convert to fraction form
    7,082.96/10,629.90 = 4,894.74/x
  3. Step 3: Cross multiply
    7,082.96x = 10,629.90 × 4,894.74
  4. Step 4: Simplify right side
    7,082.96x = 52,030,596.73
  5. Step 5: Solve for x
    x = 52,030,596.73/7,082.96
  6. Step 6: Final answer
    x = 7,345.89

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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.