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Finding the Fourth Proportional to 11,819, 16,291.37 and 11,585.72

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Solution

The fourth proportional to 11,819, 16,291.37 and 11,585.72 is: 15,969.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,819 : 16,291.37 = 11,585.72 : x
  2. Step 2: Convert to fraction form
    11,819/16,291.37 = 11,585.72/x
  3. Step 3: Cross multiply
    11,819x = 16,291.37 × 11,585.72
  4. Step 4: Simplify right side
    11,819x = 188,747,251.24
  5. Step 5: Solve for x
    x = 188,747,251.24/11,819
  6. Step 6: Final answer
    x = 15,969.82

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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.