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Finding the Fourth Proportional to 11,849.81, 16,352.64 and 6,544.58

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Solution

The fourth proportional to 11,849.81, 16,352.64 and 6,544.58 is: 9,031.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,849.81 : 16,352.64 = 6,544.58 : x
  2. Step 2: Convert to fraction form
    11,849.81/16,352.64 = 6,544.58/x
  3. Step 3: Cross multiply
    11,849.81x = 16,352.64 × 6,544.58
  4. Step 4: Simplify right side
    11,849.81x = 107,021,160.69
  5. Step 5: Solve for x
    x = 107,021,160.69/11,849.81
  6. Step 6: Final answer
    x = 9,031.47

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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.