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Finding the Fourth Proportional to 10,574.42, 15,860.37 and 2,783.84

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Solution

The fourth proportional to 10,574.42, 15,860.37 and 2,783.84 is: 4,175.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.42 : 15,860.37 = 2,783.84 : x
  2. Step 2: Convert to fraction form
    10,574.42/15,860.37 = 2,783.84/x
  3. Step 3: Cross multiply
    10,574.42x = 15,860.37 × 2,783.84
  4. Step 4: Simplify right side
    10,574.42x = 44,152,732.42
  5. Step 5: Solve for x
    x = 44,152,732.42/10,574.42
  6. Step 6: Final answer
    x = 4,175.43

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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.