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Finding the Fourth Proportional to 7,811.70, 10,780.08 and 4,274.96

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Solution

The fourth proportional to 7,811.70, 10,780.08 and 4,274.96 is: 5,899.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.70 : 10,780.08 = 4,274.96 : x
  2. Step 2: Convert to fraction form
    7,811.70/10,780.08 = 4,274.96/x
  3. Step 3: Cross multiply
    7,811.70x = 10,780.08 × 4,274.96
  4. Step 4: Simplify right side
    7,811.70x = 46,084,410.80
  5. Step 5: Solve for x
    x = 46,084,410.80/7,811.70
  6. Step 6: Final answer
    x = 5,899.41

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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.