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Finding the Fourth Proportional to 7,714.34, 10,636.11 and 6,296.59

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Solution

The fourth proportional to 7,714.34, 10,636.11 and 6,296.59 is: 8,681.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.34 : 10,636.11 = 6,296.59 : x
  2. Step 2: Convert to fraction form
    7,714.34/10,636.11 = 6,296.59/x
  3. Step 3: Cross multiply
    7,714.34x = 10,636.11 × 6,296.59
  4. Step 4: Simplify right side
    7,714.34x = 66,971,177.33
  5. Step 5: Solve for x
    x = 66,971,177.33/7,714.34
  6. Step 6: Final answer
    x = 8,681.39

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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.