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Finding the Fourth Proportional to 11,888.19, 17,823.87 and 5,221.44

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Solution

The fourth proportional to 11,888.19, 17,823.87 and 5,221.44 is: 7,828.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,888.19 : 17,823.87 = 5,221.44 : x
  2. Step 2: Convert to fraction form
    11,888.19/17,823.87 = 5,221.44/x
  3. Step 3: Cross multiply
    11,888.19x = 17,823.87 × 5,221.44
  4. Step 4: Simplify right side
    11,888.19x = 93,066,267.77
  5. Step 5: Solve for x
    x = 93,066,267.77/11,888.19
  6. Step 6: Final answer
    x = 7,828.46

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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.