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Finding the Fourth Proportional to 11,849.83, 16,352.79 and 6,544.67

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Solution

The fourth proportional to 11,849.83, 16,352.79 and 6,544.67 is: 9,031.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,849.83 : 16,352.79 = 6,544.67 : x
  2. Step 2: Convert to fraction form
    11,849.83/16,352.79 = 6,544.67/x
  3. Step 3: Cross multiply
    11,849.83x = 16,352.79 × 6,544.67
  4. Step 4: Simplify right side
    11,849.83x = 107,023,507.82
  5. Step 5: Solve for x
    x = 107,023,507.82/11,849.83
  6. Step 6: Final answer
    x = 9,031.65

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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.