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Finding the Fourth Proportional to 8,543.16, 11,789.16 and 4,766.10

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Solution

The fourth proportional to 8,543.16, 11,789.16 and 4,766.10 is: 6,576.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.16 : 11,789.16 = 4,766.10 : x
  2. Step 2: Convert to fraction form
    8,543.16/11,789.16 = 4,766.10/x
  3. Step 3: Cross multiply
    8,543.16x = 11,789.16 × 4,766.10
  4. Step 4: Simplify right side
    8,543.16x = 56,188,315.48
  5. Step 5: Solve for x
    x = 56,188,315.48/8,543.16
  6. Step 6: Final answer
    x = 6,576.99

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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.