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Finding the Fourth Proportional to 12,075.66, 18,105.69 and 5,053.77

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Solution

The fourth proportional to 12,075.66, 18,105.69 and 5,053.77 is: 7,577.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,075.66 : 18,105.69 = 5,053.77 : x
  2. Step 2: Convert to fraction form
    12,075.66/18,105.69 = 5,053.77/x
  3. Step 3: Cross multiply
    12,075.66x = 18,105.69 × 5,053.77
  4. Step 4: Simplify right side
    12,075.66x = 91,501,992.95
  5. Step 5: Solve for x
    x = 91,501,992.95/12,075.66
  6. Step 6: Final answer
    x = 7,577.39

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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.