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Finding the Fourth Proportional to 10,017.75, 13,825.02 and 5,769.45

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Solution

The fourth proportional to 10,017.75, 13,825.02 and 5,769.45 is: 7,962.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,017.75 : 13,825.02 = 5,769.45 : x
  2. Step 2: Convert to fraction form
    10,017.75/13,825.02 = 5,769.45/x
  3. Step 3: Cross multiply
    10,017.75x = 13,825.02 × 5,769.45
  4. Step 4: Simplify right side
    10,017.75x = 79,762,761.64
  5. Step 5: Solve for x
    x = 79,762,761.64/10,017.75
  6. Step 6: Final answer
    x = 7,962.14

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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.