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Finding the Fourth Proportional to 10,045.23, 13,862.97 and 5,796.30

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Solution

The fourth proportional to 10,045.23, 13,862.97 and 5,796.30 is: 7,999.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.23 : 13,862.97 = 5,796.30 : x
  2. Step 2: Convert to fraction form
    10,045.23/13,862.97 = 5,796.30/x
  3. Step 3: Cross multiply
    10,045.23x = 13,862.97 × 5,796.30
  4. Step 4: Simplify right side
    10,045.23x = 80,353,933.01
  5. Step 5: Solve for x
    x = 80,353,933.01/10,045.23
  6. Step 6: Final answer
    x = 7,999.21

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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.