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Finding the Fourth Proportional to 11,292.50, 15,576.95 and 6,813.60

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Solution

The fourth proportional to 11,292.50, 15,576.95 and 6,813.60 is: 9,398.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,292.50 : 15,576.95 = 6,813.60 : x
  2. Step 2: Convert to fraction form
    11,292.50/15,576.95 = 6,813.60/x
  3. Step 3: Cross multiply
    11,292.50x = 15,576.95 × 6,813.60
  4. Step 4: Simplify right side
    11,292.50x = 106,135,072.45
  5. Step 5: Solve for x
    x = 106,135,072.45/11,292.50
  6. Step 6: Final answer
    x = 9,398.73

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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.