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Finding the Fourth Proportional to 8,555.36, 11,805.39 and 4,777.74

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Solution

The fourth proportional to 8,555.36, 11,805.39 and 4,777.74 is: 6,592.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,555.36 : 11,805.39 = 4,777.74 : x
  2. Step 2: Convert to fraction form
    8,555.36/11,805.39 = 4,777.74/x
  3. Step 3: Cross multiply
    8,555.36x = 11,805.39 × 4,777.74
  4. Step 4: Simplify right side
    8,555.36x = 56,403,084.02
  5. Step 5: Solve for x
    x = 56,403,084.02/8,555.36
  6. Step 6: Final answer
    x = 6,592.72

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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.