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Finding the Fourth Proportional to 8,756.30, 12,083.25 and 4,777.38

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Solution

The fourth proportional to 8,756.30, 12,083.25 and 4,777.38 is: 6,592.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,756.30 : 12,083.25 = 4,777.38 : x
  2. Step 2: Convert to fraction form
    8,756.30/12,083.25 = 4,777.38/x
  3. Step 3: Cross multiply
    8,756.30x = 12,083.25 × 4,777.38
  4. Step 4: Simplify right side
    8,756.30x = 57,726,276.89
  5. Step 5: Solve for x
    x = 57,726,276.89/8,756.30
  6. Step 6: Final answer
    x = 6,592.54

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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.