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Finding the Fourth Proportional to 5,518.07, 8,277.10 and 1,414.07

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Solution

The fourth proportional to 5,518.07, 8,277.10 and 1,414.07 is: 2,121.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,518.07 : 8,277.10 = 1,414.07 : x
  2. Step 2: Convert to fraction form
    5,518.07/8,277.10 = 1,414.07/x
  3. Step 3: Cross multiply
    5,518.07x = 8,277.10 × 1,414.07
  4. Step 4: Simplify right side
    5,518.07x = 11,704,350.34
  5. Step 5: Solve for x
    x = 11,704,350.34/5,518.07
  6. Step 6: Final answer
    x = 2,121.10

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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.