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Finding the Fourth Proportional to 10,045.97, 13,862.76 and 5,797.21

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Solution

The fourth proportional to 10,045.97, 13,862.76 and 5,797.21 is: 7,999.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.97 : 13,862.76 = 5,797.21 : x
  2. Step 2: Convert to fraction form
    10,045.97/13,862.76 = 5,797.21/x
  3. Step 3: Cross multiply
    10,045.97x = 13,862.76 × 5,797.21
  4. Step 4: Simplify right side
    10,045.97x = 80,365,312.15
  5. Step 5: Solve for x
    x = 80,365,312.15/10,045.97
  6. Step 6: Final answer
    x = 7,999.76

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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.