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Finding the Fourth Proportional to 10,367.63, 15,554.46 and 3,347.50

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Solution

The fourth proportional to 10,367.63, 15,554.46 and 3,347.50 is: 5,022.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.63 : 15,554.46 = 3,347.50 : x
  2. Step 2: Convert to fraction form
    10,367.63/15,554.46 = 3,347.50/x
  3. Step 3: Cross multiply
    10,367.63x = 15,554.46 × 3,347.50
  4. Step 4: Simplify right side
    10,367.63x = 52,068,554.85
  5. Step 5: Solve for x
    x = 52,068,554.85/10,367.63
  6. Step 6: Final answer
    x = 5,022.22

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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.