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Finding the Fourth Proportional to 5,384.00, 8,023.13 and 5,207.82

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Solution

The fourth proportional to 5,384.00, 8,023.13 and 5,207.82 is: 7,760.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.00 : 8,023.13 = 5,207.82 : x
  2. Step 2: Convert to fraction form
    5,384.00/8,023.13 = 5,207.82/x
  3. Step 3: Cross multiply
    5,384.00x = 8,023.13 × 5,207.82
  4. Step 4: Simplify right side
    5,384.00x = 41,782,990.84
  5. Step 5: Solve for x
    x = 41,782,990.84/5,384.00
  6. Step 6: Final answer
    x = 7,760.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.