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Finding the Fourth Proportional to 8,523.81, 11,766.49 and 5,730.93

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Solution

The fourth proportional to 8,523.81, 11,766.49 and 5,730.93 is: 7,911.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.81 : 11,766.49 = 5,730.93 : x
  2. Step 2: Convert to fraction form
    8,523.81/11,766.49 = 5,730.93/x
  3. Step 3: Cross multiply
    8,523.81x = 11,766.49 × 5,730.93
  4. Step 4: Simplify right side
    8,523.81x = 67,432,930.54
  5. Step 5: Solve for x
    x = 67,432,930.54/8,523.81
  6. Step 6: Final answer
    x = 7,911.13

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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.