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Finding the Fourth Proportional to 7,781.68, 11,666.00 and 3,395.80

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Solution

The fourth proportional to 7,781.68, 11,666.00 and 3,395.80 is: 5,090.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.68 : 11,666.00 = 3,395.80 : x
  2. Step 2: Convert to fraction form
    7,781.68/11,666.00 = 3,395.80/x
  3. Step 3: Cross multiply
    7,781.68x = 11,666.00 × 3,395.80
  4. Step 4: Simplify right side
    7,781.68x = 39,615,385.82
  5. Step 5: Solve for x
    x = 39,615,385.82/7,781.68
  6. Step 6: Final answer
    x = 5,090.85

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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.