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Finding the Fourth Proportional to 11,774.95, 16,254.75 and 7,304.83

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Solution

The fourth proportional to 11,774.95, 16,254.75 and 7,304.83 is: 10,083.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.95 : 16,254.75 = 7,304.83 : x
  2. Step 2: Convert to fraction form
    11,774.95/16,254.75 = 7,304.83/x
  3. Step 3: Cross multiply
    11,774.95x = 16,254.75 × 7,304.83
  4. Step 4: Simplify right side
    11,774.95x = 118,738,185.44
  5. Step 5: Solve for x
    x = 118,738,185.44/11,774.95
  6. Step 6: Final answer
    x = 10,083.97

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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.