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Finding the Fourth Proportional to 10,091.84, 15,133.92 and 4,616

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Solution

The fourth proportional to 10,091.84, 15,133.92 and 4,616 is: 6,922.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,091.84 : 15,133.92 = 4,616 : x
  2. Step 2: Convert to fraction form
    10,091.84/15,133.92 = 4,616/x
  3. Step 3: Cross multiply
    10,091.84x = 15,133.92 × 4,616
  4. Step 4: Simplify right side
    10,091.84x = 69,858,174.72
  5. Step 5: Solve for x
    x = 69,858,174.72/10,091.84
  6. Step 6: Final answer
    x = 6,922.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.