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Finding the Fourth Proportional to 8,075.68, 11,130 and 5,863.84

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Solution

The fourth proportional to 8,075.68, 11,130 and 5,863.84 is: 8,081.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,075.68 : 11,130 = 5,863.84 : x
  2. Step 2: Convert to fraction form
    8,075.68/11,130 = 5,863.84/x
  3. Step 3: Cross multiply
    8,075.68x = 11,130 × 5,863.84
  4. Step 4: Simplify right side
    8,075.68x = 65,264,539.20
  5. Step 5: Solve for x
    x = 65,264,539.20/8,075.68
  6. Step 6: Final answer
    x = 8,081.62

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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.