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Finding the Fourth Proportional to 10,427.08, 15,644.94 and 5,809

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Solution

The fourth proportional to 10,427.08, 15,644.94 and 5,809 is: 8,715.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.08 : 15,644.94 = 5,809 : x
  2. Step 2: Convert to fraction form
    10,427.08/15,644.94 = 5,809/x
  3. Step 3: Cross multiply
    10,427.08x = 15,644.94 × 5,809
  4. Step 4: Simplify right side
    10,427.08x = 90,881,456.46
  5. Step 5: Solve for x
    x = 90,881,456.46/10,427.08
  6. Step 6: Final answer
    x = 8,715.91

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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.