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Finding the Fourth Proportional to 8,301.24, 11,455.71 and 4,575.24

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Solution

The fourth proportional to 8,301.24, 11,455.71 and 4,575.24 is: 6,313.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.24 : 11,455.71 = 4,575.24 : x
  2. Step 2: Convert to fraction form
    8,301.24/11,455.71 = 4,575.24/x
  3. Step 3: Cross multiply
    8,301.24x = 11,455.71 × 4,575.24
  4. Step 4: Simplify right side
    8,301.24x = 52,412,622.62
  5. Step 5: Solve for x
    x = 52,412,622.62/8,301.24
  6. Step 6: Final answer
    x = 6,313.83

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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.