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Finding the Fourth Proportional to 10,725.23, 14,801.18 and 5,945.11

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Solution

The fourth proportional to 10,725.23, 14,801.18 and 5,945.11 is: 8,204.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.23 : 14,801.18 = 5,945.11 : x
  2. Step 2: Convert to fraction form
    10,725.23/14,801.18 = 5,945.11/x
  3. Step 3: Cross multiply
    10,725.23x = 14,801.18 × 5,945.11
  4. Step 4: Simplify right side
    10,725.23x = 87,994,693.20
  5. Step 5: Solve for x
    x = 87,994,693.20/10,725.23
  6. Step 6: Final answer
    x = 8,204.46

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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.