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Finding the Fourth Proportional to 11,852.49, 17,783.93 and 5,616.96

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Solution

The fourth proportional to 11,852.49, 17,783.93 and 5,616.96 is: 8,427.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.49 : 17,783.93 = 5,616.96 : x
  2. Step 2: Convert to fraction form
    11,852.49/17,783.93 = 5,616.96/x
  3. Step 3: Cross multiply
    11,852.49x = 17,783.93 × 5,616.96
  4. Step 4: Simplify right side
    11,852.49x = 99,891,595.37
  5. Step 5: Solve for x
    x = 99,891,595.37/11,852.49
  6. Step 6: Final answer
    x = 8,427.90

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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.