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Finding the Fourth Proportional to 7,389.09, 10,197.09 and 5,797.64

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Solution

The fourth proportional to 7,389.09, 10,197.09 and 5,797.64 is: 8,000.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,389.09 : 10,197.09 = 5,797.64 : x
  2. Step 2: Convert to fraction form
    7,389.09/10,197.09 = 5,797.64/x
  3. Step 3: Cross multiply
    7,389.09x = 10,197.09 × 5,797.64
  4. Step 4: Simplify right side
    7,389.09x = 59,119,082.36
  5. Step 5: Solve for x
    x = 59,119,082.36/7,389.09
  6. Step 6: Final answer
    x = 8,000.86

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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.