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Finding the Fourth Proportional to 10,765.42, 16,148.42 and 3,369.71

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Solution

The fourth proportional to 10,765.42, 16,148.42 and 3,369.71 is: 5,054.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.42 : 16,148.42 = 3,369.71 : x
  2. Step 2: Convert to fraction form
    10,765.42/16,148.42 = 3,369.71/x
  3. Step 3: Cross multiply
    10,765.42x = 16,148.42 × 3,369.71
  4. Step 4: Simplify right side
    10,765.42x = 54,415,492.36
  5. Step 5: Solve for x
    x = 54,415,492.36/10,765.42
  6. Step 6: Final answer
    x = 5,054.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.