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Finding the Fourth Proportional to 8,169.60, 11,266.56 and 5,813.76

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Solution

The fourth proportional to 8,169.60, 11,266.56 and 5,813.76 is: 8,017.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,169.60 : 11,266.56 = 5,813.76 : x
  2. Step 2: Convert to fraction form
    8,169.60/11,266.56 = 5,813.76/x
  3. Step 3: Cross multiply
    8,169.60x = 11,266.56 × 5,813.76
  4. Step 4: Simplify right side
    8,169.60x = 65,501,075.87
  5. Step 5: Solve for x
    x = 65,501,075.87/8,169.60
  6. Step 6: Final answer
    x = 8,017.66

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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.