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Finding the Fourth Proportional to 13,485.16, 18,611.46 and 7,896.04

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Solution

The fourth proportional to 13,485.16, 18,611.46 and 7,896.04 is: 10,897.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,485.16 : 18,611.46 = 7,896.04 : x
  2. Step 2: Convert to fraction form
    13,485.16/18,611.46 = 7,896.04/x
  3. Step 3: Cross multiply
    13,485.16x = 18,611.46 × 7,896.04
  4. Step 4: Simplify right side
    13,485.16x = 146,956,832.62
  5. Step 5: Solve for x
    x = 146,956,832.62/13,485.16
  6. Step 6: Final answer
    x = 10,897.67

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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.