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Finding the Fourth Proportional to 8,329.41, 11,475.04 and 5,806.93

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Solution

The fourth proportional to 8,329.41, 11,475.04 and 5,806.93 is: 7,999.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.41 : 11,475.04 = 5,806.93 : x
  2. Step 2: Convert to fraction form
    8,329.41/11,475.04 = 5,806.93/x
  3. Step 3: Cross multiply
    8,329.41x = 11,475.04 × 5,806.93
  4. Step 4: Simplify right side
    8,329.41x = 66,634,754.03
  5. Step 5: Solve for x
    x = 66,634,754.03/8,329.41
  6. Step 6: Final answer
    x = 7,999.94

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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.