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Finding the Fourth Proportional to 7,303.43, 10,083.29 and 5,797.14

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Solution

The fourth proportional to 7,303.43, 10,083.29 and 5,797.14 is: 8,003.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,303.43 : 10,083.29 = 5,797.14 : x
  2. Step 2: Convert to fraction form
    7,303.43/10,083.29 = 5,797.14/x
  3. Step 3: Cross multiply
    7,303.43x = 10,083.29 × 5,797.14
  4. Step 4: Simplify right side
    7,303.43x = 58,454,243.79
  5. Step 5: Solve for x
    x = 58,454,243.79/7,303.43
  6. Step 6: Final answer
    x = 8,003.67

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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.