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Finding the Fourth Proportional to 6,904.59, 10,357.79 and 2,524.11

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Solution

The fourth proportional to 6,904.59, 10,357.79 and 2,524.11 is: 3,786.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.59 : 10,357.79 = 2,524.11 : x
  2. Step 2: Convert to fraction form
    6,904.59/10,357.79 = 2,524.11/x
  3. Step 3: Cross multiply
    6,904.59x = 10,357.79 × 2,524.11
  4. Step 4: Simplify right side
    6,904.59x = 26,144,188.70
  5. Step 5: Solve for x
    x = 26,144,188.70/6,904.59
  6. Step 6: Final answer
    x = 3,786.49

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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.