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Finding the Fourth Proportional to 8,048.48, 11,125.49 and 6,714.41

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Solution

The fourth proportional to 8,048.48, 11,125.49 and 6,714.41 is: 9,281.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048.48 : 11,125.49 = 6,714.41 : x
  2. Step 2: Convert to fraction form
    8,048.48/11,125.49 = 6,714.41/x
  3. Step 3: Cross multiply
    8,048.48x = 11,125.49 × 6,714.41
  4. Step 4: Simplify right side
    8,048.48x = 74,701,012.11
  5. Step 5: Solve for x
    x = 74,701,012.11/8,048.48
  6. Step 6: Final answer
    x = 9,281.39

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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.