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Finding the Fourth Proportional to 8,514.69, 11,750.09 and 4,929.80

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Solution

The fourth proportional to 8,514.69, 11,750.09 and 4,929.80 is: 6,803.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.69 : 11,750.09 = 4,929.80 : x
  2. Step 2: Convert to fraction form
    8,514.69/11,750.09 = 4,929.80/x
  3. Step 3: Cross multiply
    8,514.69x = 11,750.09 × 4,929.80
  4. Step 4: Simplify right side
    8,514.69x = 57,925,635.38
  5. Step 5: Solve for x
    x = 57,925,635.38/8,514.69
  6. Step 6: Final answer
    x = 6,803.02

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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.