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Finding the Fourth Proportional to 11,849.33, 16,352.12 and 6,471.82

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Solution

The fourth proportional to 11,849.33, 16,352.12 and 6,471.82 is: 8,931.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,849.33 : 16,352.12 = 6,471.82 : x
  2. Step 2: Convert to fraction form
    11,849.33/16,352.12 = 6,471.82/x
  3. Step 3: Cross multiply
    11,849.33x = 16,352.12 × 6,471.82
  4. Step 4: Simplify right side
    11,849.33x = 105,827,977.26
  5. Step 5: Solve for x
    x = 105,827,977.26/11,849.33
  6. Step 6: Final answer
    x = 8,931.14

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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.