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Finding the Fourth Proportional to 7,781.94, 10,735.74 and 5,195.70

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Solution

The fourth proportional to 7,781.94, 10,735.74 and 5,195.70 is: 7,167.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.94 : 10,735.74 = 5,195.70 : x
  2. Step 2: Convert to fraction form
    7,781.94/10,735.74 = 5,195.70/x
  3. Step 3: Cross multiply
    7,781.94x = 10,735.74 × 5,195.70
  4. Step 4: Simplify right side
    7,781.94x = 55,779,684.32
  5. Step 5: Solve for x
    x = 55,779,684.32/7,781.94
  6. Step 6: Final answer
    x = 7,167.84

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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.