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Finding the Fourth Proportional to 7,811.68, 10,780.38 and 4,274.92

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Solution

The fourth proportional to 7,811.68, 10,780.38 and 4,274.92 is: 5,899.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.68 : 10,780.38 = 4,274.92 : x
  2. Step 2: Convert to fraction form
    7,811.68/10,780.38 = 4,274.92/x
  3. Step 3: Cross multiply
    7,811.68x = 10,780.38 × 4,274.92
  4. Step 4: Simplify right side
    7,811.68x = 46,085,262.07
  5. Step 5: Solve for x
    x = 46,085,262.07/7,811.68
  6. Step 6: Final answer
    x = 5,899.53

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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.