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Finding the Fourth Proportional to 10,241.54, 15,342.61 and 6,281.25

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Solution

The fourth proportional to 10,241.54, 15,342.61 and 6,281.25 is: 9,409.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241.54 : 15,342.61 = 6,281.25 : x
  2. Step 2: Convert to fraction form
    10,241.54/15,342.61 = 6,281.25/x
  3. Step 3: Cross multiply
    10,241.54x = 15,342.61 × 6,281.25
  4. Step 4: Simplify right side
    10,241.54x = 96,370,769.06
  5. Step 5: Solve for x
    x = 96,370,769.06/10,241.54
  6. Step 6: Final answer
    x = 9,409.79

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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.