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Finding the Fourth Proportional to 8,644.02, 11,916.75 and 5,806.45

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Solution

The fourth proportional to 8,644.02, 11,916.75 and 5,806.45 is: 8,004.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,644.02 : 11,916.75 = 5,806.45 : x
  2. Step 2: Convert to fraction form
    8,644.02/11,916.75 = 5,806.45/x
  3. Step 3: Cross multiply
    8,644.02x = 11,916.75 × 5,806.45
  4. Step 4: Simplify right side
    8,644.02x = 69,194,013.04
  5. Step 5: Solve for x
    x = 69,194,013.04/8,644.02
  6. Step 6: Final answer
    x = 8,004.84

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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.