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Finding the Fourth Proportional to 6,678.85, 10,019.87 and 2,296.19

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Solution

The fourth proportional to 6,678.85, 10,019.87 and 2,296.19 is: 3,444.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.85 : 10,019.87 = 2,296.19 : x
  2. Step 2: Convert to fraction form
    6,678.85/10,019.87 = 2,296.19/x
  3. Step 3: Cross multiply
    6,678.85x = 10,019.87 × 2,296.19
  4. Step 4: Simplify right side
    6,678.85x = 23,007,538.86
  5. Step 5: Solve for x
    x = 23,007,538.86/6,678.85
  6. Step 6: Final answer
    x = 3,444.84

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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.