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Finding the Fourth Proportional to 10,573.36, 15,860.28 and 2,782.42

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Solution

The fourth proportional to 10,573.36, 15,860.28 and 2,782.42 is: 4,173.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.36 : 15,860.28 = 2,782.42 : x
  2. Step 2: Convert to fraction form
    10,573.36/15,860.28 = 2,782.42/x
  3. Step 3: Cross multiply
    10,573.36x = 15,860.28 × 2,782.42
  4. Step 4: Simplify right side
    10,573.36x = 44,129,960.28
  5. Step 5: Solve for x
    x = 44,129,960.28/10,573.36
  6. Step 6: Final answer
    x = 4,173.69

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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.