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Finding the Fourth Proportional to 10,075.15, 13,899.73 and 5,825.44

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Solution

The fourth proportional to 10,075.15, 13,899.73 and 5,825.44 is: 8,036.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,075.15 : 13,899.73 = 5,825.44 : x
  2. Step 2: Convert to fraction form
    10,075.15/13,899.73 = 5,825.44/x
  3. Step 3: Cross multiply
    10,075.15x = 13,899.73 × 5,825.44
  4. Step 4: Simplify right side
    10,075.15x = 80,971,944.51
  5. Step 5: Solve for x
    x = 80,971,944.51/10,075.15
  6. Step 6: Final answer
    x = 8,036.80

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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.