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Finding the Fourth Proportional to 8,376.54, 11,559.79 and 4,600.09

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Solution

The fourth proportional to 8,376.54, 11,559.79 and 4,600.09 is: 6,348.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,376.54 : 11,559.79 = 4,600.09 : x
  2. Step 2: Convert to fraction form
    8,376.54/11,559.79 = 4,600.09/x
  3. Step 3: Cross multiply
    8,376.54x = 11,559.79 × 4,600.09
  4. Step 4: Simplify right side
    8,376.54x = 53,176,051.38
  5. Step 5: Solve for x
    x = 53,176,051.38/8,376.54
  6. Step 6: Final answer
    x = 6,348.21

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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.