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Finding the Fourth Proportional to 7,751.64, 11,629.62 and 4,054.80

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Solution

The fourth proportional to 7,751.64, 11,629.62 and 4,054.80 is: 6,083.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.64 : 11,629.62 = 4,054.80 : x
  2. Step 2: Convert to fraction form
    7,751.64/11,629.62 = 4,054.80/x
  3. Step 3: Cross multiply
    7,751.64x = 11,629.62 × 4,054.80
  4. Step 4: Simplify right side
    7,751.64x = 47,155,783.18
  5. Step 5: Solve for x
    x = 47,155,783.18/7,751.64
  6. Step 6: Final answer
    x = 6,083.33

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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.