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Finding the Fourth Proportional to 10,743.03, 16,114.14 and 2,951.64

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Solution

The fourth proportional to 10,743.03, 16,114.14 and 2,951.64 is: 4,427.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,743.03 : 16,114.14 = 2,951.64 : x
  2. Step 2: Convert to fraction form
    10,743.03/16,114.14 = 2,951.64/x
  3. Step 3: Cross multiply
    10,743.03x = 16,114.14 × 2,951.64
  4. Step 4: Simplify right side
    10,743.03x = 47,563,140.19
  5. Step 5: Solve for x
    x = 47,563,140.19/10,743.03
  6. Step 6: Final answer
    x = 4,427.35

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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.