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Finding the Fourth Proportional to 11,077.84, 16,619.32 and 4,923.60

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Solution

The fourth proportional to 11,077.84, 16,619.32 and 4,923.60 is: 7,386.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,077.84 : 16,619.32 = 4,923.60 : x
  2. Step 2: Convert to fraction form
    11,077.84/16,619.32 = 4,923.60/x
  3. Step 3: Cross multiply
    11,077.84x = 16,619.32 × 4,923.60
  4. Step 4: Simplify right side
    11,077.84x = 81,826,883.95
  5. Step 5: Solve for x
    x = 81,826,883.95/11,077.84
  6. Step 6: Final answer
    x = 7,386.54

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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.