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Finding the Fourth Proportional to 8,075.60, 12,110.64 and 2,809.22

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Solution

The fourth proportional to 8,075.60, 12,110.64 and 2,809.22 is: 4,212.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,075.60 : 12,110.64 = 2,809.22 : x
  2. Step 2: Convert to fraction form
    8,075.60/12,110.64 = 2,809.22/x
  3. Step 3: Cross multiply
    8,075.60x = 12,110.64 × 2,809.22
  4. Step 4: Simplify right side
    8,075.60x = 34,021,452.10
  5. Step 5: Solve for x
    x = 34,021,452.10/8,075.60
  6. Step 6: Final answer
    x = 4,212.87

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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.