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Finding the Fourth Proportional to 7,814.82, 10,780.68 and 4,627.26

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Solution

The fourth proportional to 7,814.82, 10,780.68 and 4,627.26 is: 6,383.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.82 : 10,780.68 = 4,627.26 : x
  2. Step 2: Convert to fraction form
    7,814.82/10,780.68 = 4,627.26/x
  3. Step 3: Cross multiply
    7,814.82x = 10,780.68 × 4,627.26
  4. Step 4: Simplify right side
    7,814.82x = 49,885,009.34
  5. Step 5: Solve for x
    x = 49,885,009.34/7,814.82
  6. Step 6: Final answer
    x = 6,383.39

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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.