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Finding the Fourth Proportional to 10,512.28, 14,506.86 and 5,796.40

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Solution

The fourth proportional to 10,512.28, 14,506.86 and 5,796.40 is: 7,998.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.28 : 14,506.86 = 5,796.40 : x
  2. Step 2: Convert to fraction form
    10,512.28/14,506.86 = 5,796.40/x
  3. Step 3: Cross multiply
    10,512.28x = 14,506.86 × 5,796.40
  4. Step 4: Simplify right side
    10,512.28x = 84,087,563.30
  5. Step 5: Solve for x
    x = 84,087,563.30/10,512.28
  6. Step 6: Final answer
    x = 7,998.98

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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.