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Finding the Fourth Proportional to 7,825.80, 10,801.32 and 5,173.47

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Solution

The fourth proportional to 7,825.80, 10,801.32 and 5,173.47 is: 7,140.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.80 : 10,801.32 = 5,173.47 : x
  2. Step 2: Convert to fraction form
    7,825.80/10,801.32 = 5,173.47/x
  3. Step 3: Cross multiply
    7,825.80x = 10,801.32 × 5,173.47
  4. Step 4: Simplify right side
    7,825.80x = 55,880,304.98
  5. Step 5: Solve for x
    x = 55,880,304.98/7,825.80
  6. Step 6: Final answer
    x = 7,140.52

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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.