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Finding the Fourth Proportional to 10,765.42, 16,145.02 and 4,190.06

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Solution

The fourth proportional to 10,765.42, 16,145.02 and 4,190.06 is: 6,283.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.42 : 16,145.02 = 4,190.06 : x
  2. Step 2: Convert to fraction form
    10,765.42/16,145.02 = 4,190.06/x
  3. Step 3: Cross multiply
    10,765.42x = 16,145.02 × 4,190.06
  4. Step 4: Simplify right side
    10,765.42x = 67,648,602.50
  5. Step 5: Solve for x
    x = 67,648,602.50/10,765.42
  6. Step 6: Final answer
    x = 6,283.88

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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.