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Finding the Fourth Proportional to 8,398.24, 11,590.49 and 4,621.71

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Solution

The fourth proportional to 8,398.24, 11,590.49 and 4,621.71 is: 6,378.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,398.24 : 11,590.49 = 4,621.71 : x
  2. Step 2: Convert to fraction form
    8,398.24/11,590.49 = 4,621.71/x
  3. Step 3: Cross multiply
    8,398.24x = 11,590.49 × 4,621.71
  4. Step 4: Simplify right side
    8,398.24x = 53,567,895.09
  5. Step 5: Solve for x
    x = 53,567,895.09/8,398.24
  6. Step 6: Final answer
    x = 6,378.47

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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.