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Finding the Fourth Proportional to 10,390.77, 15,578 and 4,843.38

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Solution

The fourth proportional to 10,390.77, 15,578 and 4,843.38 is: 7,261.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,390.77 : 15,578 = 4,843.38 : x
  2. Step 2: Convert to fraction form
    10,390.77/15,578 = 4,843.38/x
  3. Step 3: Cross multiply
    10,390.77x = 15,578 × 4,843.38
  4. Step 4: Simplify right side
    10,390.77x = 75,450,173.64
  5. Step 5: Solve for x
    x = 75,450,173.64/10,390.77
  6. Step 6: Final answer
    x = 7,261.27

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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.