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Finding the Fourth Proportional to 11,013.37, 15,202.84 and 7,478.63

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Solution

The fourth proportional to 11,013.37, 15,202.84 and 7,478.63 is: 10,323.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,013.37 : 15,202.84 = 7,478.63 : x
  2. Step 2: Convert to fraction form
    11,013.37/15,202.84 = 7,478.63/x
  3. Step 3: Cross multiply
    11,013.37x = 15,202.84 × 7,478.63
  4. Step 4: Simplify right side
    11,013.37x = 113,696,391.63
  5. Step 5: Solve for x
    x = 113,696,391.63/11,013.37
  6. Step 6: Final answer
    x = 10,323.49

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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.