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Finding the Fourth Proportional to 11,854.82, 16,352.42 and 7,604.45

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Solution

The fourth proportional to 11,854.82, 16,352.42 and 7,604.45 is: 10,489.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.82 : 16,352.42 = 7,604.45 : x
  2. Step 2: Convert to fraction form
    11,854.82/16,352.42 = 7,604.45/x
  3. Step 3: Cross multiply
    11,854.82x = 16,352.42 × 7,604.45
  4. Step 4: Simplify right side
    11,854.82x = 124,351,040.48
  5. Step 5: Solve for x
    x = 124,351,040.48/11,854.82
  6. Step 6: Final answer
    x = 10,489.50

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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.