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Finding the Fourth Proportional to 8,131.51, 12,189.16 and 5,666.95

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Solution

The fourth proportional to 8,131.51, 12,189.16 and 5,666.95 is: 8,494.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.51 : 12,189.16 = 5,666.95 : x
  2. Step 2: Convert to fraction form
    8,131.51/12,189.16 = 5,666.95/x
  3. Step 3: Cross multiply
    8,131.51x = 12,189.16 × 5,666.95
  4. Step 4: Simplify right side
    8,131.51x = 69,075,360.26
  5. Step 5: Solve for x
    x = 69,075,360.26/8,131.51
  6. Step 6: Final answer
    x = 8,494.78

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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.