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Finding the Fourth Proportional to 11,135.44, 15,364.45 and 6,829.45

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Solution

The fourth proportional to 11,135.44, 15,364.45 and 6,829.45 is: 9,423.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,135.44 : 15,364.45 = 6,829.45 : x
  2. Step 2: Convert to fraction form
    11,135.44/15,364.45 = 6,829.45/x
  3. Step 3: Cross multiply
    11,135.44x = 15,364.45 × 6,829.45
  4. Step 4: Simplify right side
    11,135.44x = 104,930,743.05
  5. Step 5: Solve for x
    x = 104,930,743.05/11,135.44
  6. Step 6: Final answer
    x = 9,423.13

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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.