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Finding the Fourth Proportional to 7,108.68, 9,804.69 and 5,219.67

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Solution

The fourth proportional to 7,108.68, 9,804.69 and 5,219.67 is: 7,199.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,108.68 : 9,804.69 = 5,219.67 : x
  2. Step 2: Convert to fraction form
    7,108.68/9,804.69 = 5,219.67/x
  3. Step 3: Cross multiply
    7,108.68x = 9,804.69 × 5,219.67
  4. Step 4: Simplify right side
    7,108.68x = 51,177,246.25
  5. Step 5: Solve for x
    x = 51,177,246.25/7,108.68
  6. Step 6: Final answer
    x = 7,199.26

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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.