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Finding the Fourth Proportional to 8,554.60, 11,805.23 and 4,777.83

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Solution

The fourth proportional to 8,554.60, 11,805.23 and 4,777.83 is: 6,593.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,554.60 : 11,805.23 = 4,777.83 : x
  2. Step 2: Convert to fraction form
    8,554.60/11,805.23 = 4,777.83/x
  3. Step 3: Cross multiply
    8,554.60x = 11,805.23 × 4,777.83
  4. Step 4: Simplify right side
    8,554.60x = 56,403,382.05
  5. Step 5: Solve for x
    x = 56,403,382.05/8,554.60
  6. Step 6: Final answer
    x = 6,593.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.