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Finding the Fourth Proportional to 10,751.97, 16,127.19 and 2,854.32

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Solution

The fourth proportional to 10,751.97, 16,127.19 and 2,854.32 is: 4,281.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751.97 : 16,127.19 = 2,854.32 : x
  2. Step 2: Convert to fraction form
    10,751.97/16,127.19 = 2,854.32/x
  3. Step 3: Cross multiply
    10,751.97x = 16,127.19 × 2,854.32
  4. Step 4: Simplify right side
    10,751.97x = 46,032,160.96
  5. Step 5: Solve for x
    x = 46,032,160.96/10,751.97
  6. Step 6: Final answer
    x = 4,281.28

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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.