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Finding the Fourth Proportional to 10,952.70, 16,429.02 and 4,380.42

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Solution

The fourth proportional to 10,952.70, 16,429.02 and 4,380.42 is: 6,570.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.70 : 16,429.02 = 4,380.42 : x
  2. Step 2: Convert to fraction form
    10,952.70/16,429.02 = 4,380.42/x
  3. Step 3: Cross multiply
    10,952.70x = 16,429.02 × 4,380.42
  4. Step 4: Simplify right side
    10,952.70x = 71,965,925.64
  5. Step 5: Solve for x
    x = 71,965,925.64/10,952.70
  6. Step 6: Final answer
    x = 6,570.61

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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.