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Finding the Fourth Proportional to 12,755.87, 17,597.41 and 7,448.34

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Solution

The fourth proportional to 12,755.87, 17,597.41 and 7,448.34 is: 10,275.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,755.87 : 17,597.41 = 7,448.34 : x
  2. Step 2: Convert to fraction form
    12,755.87/17,597.41 = 7,448.34/x
  3. Step 3: Cross multiply
    12,755.87x = 17,597.41 × 7,448.34
  4. Step 4: Simplify right side
    12,755.87x = 131,071,492.80
  5. Step 5: Solve for x
    x = 131,071,492.80/12,755.87
  6. Step 6: Final answer
    x = 10,275.39

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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.