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Finding the Fourth Proportional to 8,265.80, 11,410.54 and 5,285.66

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Solution

The fourth proportional to 8,265.80, 11,410.54 and 5,285.66 is: 7,296.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,265.80 : 11,410.54 = 5,285.66 : x
  2. Step 2: Convert to fraction form
    8,265.80/11,410.54 = 5,285.66/x
  3. Step 3: Cross multiply
    8,265.80x = 11,410.54 × 5,285.66
  4. Step 4: Simplify right side
    8,265.80x = 60,312,164.59
  5. Step 5: Solve for x
    x = 60,312,164.59/8,265.80
  6. Step 6: Final answer
    x = 7,296.59

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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.