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Finding the Fourth Proportional to 7,731.51, 10,669.51 and 4,194.75

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Solution

The fourth proportional to 7,731.51, 10,669.51 and 4,194.75 is: 5,788.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731.51 : 10,669.51 = 4,194.75 : x
  2. Step 2: Convert to fraction form
    7,731.51/10,669.51 = 4,194.75/x
  3. Step 3: Cross multiply
    7,731.51x = 10,669.51 × 4,194.75
  4. Step 4: Simplify right side
    7,731.51x = 44,755,927.07
  5. Step 5: Solve for x
    x = 44,755,927.07/7,731.51
  6. Step 6: Final answer
    x = 5,788.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.