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Finding the Fourth Proportional to 7,874.37, 11,810.64 and 2,030.52

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Solution

The fourth proportional to 7,874.37, 11,810.64 and 2,030.52 is: 3,045.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.37 : 11,810.64 = 2,030.52 : x
  2. Step 2: Convert to fraction form
    7,874.37/11,810.64 = 2,030.52/x
  3. Step 3: Cross multiply
    7,874.37x = 11,810.64 × 2,030.52
  4. Step 4: Simplify right side
    7,874.37x = 23,981,740.73
  5. Step 5: Solve for x
    x = 23,981,740.73/7,874.37
  6. Step 6: Final answer
    x = 3,045.54

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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.