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Finding the Fourth Proportional to 7,852.47, 11,774.09 and 3,172.63

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Solution

The fourth proportional to 7,852.47, 11,774.09 and 3,172.63 is: 4,757.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.47 : 11,774.09 = 3,172.63 : x
  2. Step 2: Convert to fraction form
    7,852.47/11,774.09 = 3,172.63/x
  3. Step 3: Cross multiply
    7,852.47x = 11,774.09 × 3,172.63
  4. Step 4: Simplify right side
    7,852.47x = 37,354,764.35
  5. Step 5: Solve for x
    x = 37,354,764.35/7,852.47
  6. Step 6: Final answer
    x = 4,757.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.