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Finding the Fourth Proportional to 8,000.24, 11,040.20 and 4,463.84

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Solution

The fourth proportional to 8,000.24, 11,040.20 and 4,463.84 is: 6,160.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.24 : 11,040.20 = 4,463.84 : x
  2. Step 2: Convert to fraction form
    8,000.24/11,040.20 = 4,463.84/x
  3. Step 3: Cross multiply
    8,000.24x = 11,040.20 × 4,463.84
  4. Step 4: Simplify right side
    8,000.24x = 49,281,686.37
  5. Step 5: Solve for x
    x = 49,281,686.37/8,000.24
  6. Step 6: Final answer
    x = 6,160.03

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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.