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Finding the Fourth Proportional to 10,751.90, 16,134 and 4,177.23

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Solution

The fourth proportional to 10,751.90, 16,134 and 4,177.23 is: 6,268.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751.90 : 16,134 = 4,177.23 : x
  2. Step 2: Convert to fraction form
    10,751.90/16,134 = 4,177.23/x
  3. Step 3: Cross multiply
    10,751.90x = 16,134 × 4,177.23
  4. Step 4: Simplify right side
    10,751.90x = 67,395,428.82
  5. Step 5: Solve for x
    x = 67,395,428.82/10,751.90
  6. Step 6: Final answer
    x = 6,268.23

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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.