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Finding the Fourth Proportional to 7,726.62, 11,590.54 and 3,046.31

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Solution

The fourth proportional to 7,726.62, 11,590.54 and 3,046.31 is: 4,569.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.62 : 11,590.54 = 3,046.31 : x
  2. Step 2: Convert to fraction form
    7,726.62/11,590.54 = 3,046.31/x
  3. Step 3: Cross multiply
    7,726.62x = 11,590.54 × 3,046.31
  4. Step 4: Simplify right side
    7,726.62x = 35,308,377.91
  5. Step 5: Solve for x
    x = 35,308,377.91/7,726.62
  6. Step 6: Final answer
    x = 4,569.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.