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Finding the Fourth Proportional to 7,757.68, 10,698.60 and 5,104.08

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Solution

The fourth proportional to 7,757.68, 10,698.60 and 5,104.08 is: 7,039.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.68 : 10,698.60 = 5,104.08 : x
  2. Step 2: Convert to fraction form
    7,757.68/10,698.60 = 5,104.08/x
  3. Step 3: Cross multiply
    7,757.68x = 10,698.60 × 5,104.08
  4. Step 4: Simplify right side
    7,757.68x = 54,606,510.29
  5. Step 5: Solve for x
    x = 54,606,510.29/7,757.68
  6. Step 6: Final answer
    x = 7,039.03

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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.