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Finding the Fourth Proportional to 7,726.98, 11,590.47 and 1,883.54

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Solution

The fourth proportional to 7,726.98, 11,590.47 and 1,883.54 is: 2,825.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.98 : 11,590.47 = 1,883.54 : x
  2. Step 2: Convert to fraction form
    7,726.98/11,590.47 = 1,883.54/x
  3. Step 3: Cross multiply
    7,726.98x = 11,590.47 × 1,883.54
  4. Step 4: Simplify right side
    7,726.98x = 21,831,055.91
  5. Step 5: Solve for x
    x = 21,831,055.91/7,726.98
  6. Step 6: Final answer
    x = 2,825.30

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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.