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Finding the Fourth Proportional to 8,315.24, 11,475.20 and 4,589.24

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Solution

The fourth proportional to 8,315.24, 11,475.20 and 4,589.24 is: 6,333.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.24 : 11,475.20 = 4,589.24 : x
  2. Step 2: Convert to fraction form
    8,315.24/11,475.20 = 4,589.24/x
  3. Step 3: Cross multiply
    8,315.24x = 11,475.20 × 4,589.24
  4. Step 4: Simplify right side
    8,315.24x = 52,662,446.85
  5. Step 5: Solve for x
    x = 52,662,446.85/8,315.24
  6. Step 6: Final answer
    x = 6,333.24

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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.