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Finding the Fourth Proportional to 8,514.40, 11,725.68 and 6,152.80

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Solution

The fourth proportional to 8,514.40, 11,725.68 and 6,152.80 is: 8,473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.40 : 11,725.68 = 6,152.80 : x
  2. Step 2: Convert to fraction form
    8,514.40/11,725.68 = 6,152.80/x
  3. Step 3: Cross multiply
    8,514.40x = 11,725.68 × 6,152.80
  4. Step 4: Simplify right side
    8,514.40x = 72,145,763.90
  5. Step 5: Solve for x
    x = 72,145,763.90/8,514.40
  6. Step 6: Final answer
    x = 8,473.38

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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.