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Finding the Fourth Proportional to 8,398.68, 11,590.66 and 4,814.24

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Solution

The fourth proportional to 8,398.68, 11,590.66 and 4,814.24 is: 6,643.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,398.68 : 11,590.66 = 4,814.24 : x
  2. Step 2: Convert to fraction form
    8,398.68/11,590.66 = 4,814.24/x
  3. Step 3: Cross multiply
    8,398.68x = 11,590.66 × 4,814.24
  4. Step 4: Simplify right side
    8,398.68x = 55,800,149.01
  5. Step 5: Solve for x
    x = 55,800,149.01/8,398.68
  6. Step 6: Final answer
    x = 6,643.92

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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.