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Finding the Fourth Proportional to 10,157.25, 15,235.84 and 2,762.78

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Solution

The fourth proportional to 10,157.25, 15,235.84 and 2,762.78 is: 4,144.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157.25 : 15,235.84 = 2,762.78 : x
  2. Step 2: Convert to fraction form
    10,157.25/15,235.84 = 2,762.78/x
  3. Step 3: Cross multiply
    10,157.25x = 15,235.84 × 2,762.78
  4. Step 4: Simplify right side
    10,157.25x = 42,093,274.04
  5. Step 5: Solve for x
    x = 42,093,274.04/10,157.25
  6. Step 6: Final answer
    x = 4,144.16

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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.