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Finding the Fourth Proportional to 8,290.24, 11,440.50 and 4,564.24

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Solution

The fourth proportional to 8,290.24, 11,440.50 and 4,564.24 is: 6,298.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.24 : 11,440.50 = 4,564.24 : x
  2. Step 2: Convert to fraction form
    8,290.24/11,440.50 = 4,564.24/x
  3. Step 3: Cross multiply
    8,290.24x = 11,440.50 × 4,564.24
  4. Step 4: Simplify right side
    8,290.24x = 52,217,187.72
  5. Step 5: Solve for x
    x = 52,217,187.72/8,290.24
  6. Step 6: Final answer
    x = 6,298.63

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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.