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Finding the Fourth Proportional to 8,764.33, 12,095.93 and 4,986.77

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Solution

The fourth proportional to 8,764.33, 12,095.93 and 4,986.77 is: 6,882.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,764.33 : 12,095.93 = 4,986.77 : x
  2. Step 2: Convert to fraction form
    8,764.33/12,095.93 = 4,986.77/x
  3. Step 3: Cross multiply
    8,764.33x = 12,095.93 × 4,986.77
  4. Step 4: Simplify right side
    8,764.33x = 60,319,535.43
  5. Step 5: Solve for x
    x = 60,319,535.43/8,764.33
  6. Step 6: Final answer
    x = 6,882.39

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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.