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Finding the Fourth Proportional to 11,271.70, 15,538.46 and 7,904.36

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Solution

The fourth proportional to 11,271.70, 15,538.46 and 7,904.36 is: 10,896.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,271.70 : 15,538.46 = 7,904.36 : x
  2. Step 2: Convert to fraction form
    11,271.70/15,538.46 = 7,904.36/x
  3. Step 3: Cross multiply
    11,271.70x = 15,538.46 × 7,904.36
  4. Step 4: Simplify right side
    11,271.70x = 122,821,581.69
  5. Step 5: Solve for x
    x = 122,821,581.69/11,271.70
  6. Step 6: Final answer
    x = 10,896.46

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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.