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Finding the Fourth Proportional to 12,075.51, 18,119.43 and 5,840.87

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Solution

The fourth proportional to 12,075.51, 18,119.43 and 5,840.87 is: 8,764.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,075.51 : 18,119.43 = 5,840.87 : x
  2. Step 2: Convert to fraction form
    12,075.51/18,119.43 = 5,840.87/x
  3. Step 3: Cross multiply
    12,075.51x = 18,119.43 × 5,840.87
  4. Step 4: Simplify right side
    12,075.51x = 105,833,235.10
  5. Step 5: Solve for x
    x = 105,833,235.10/12,075.51
  6. Step 6: Final answer
    x = 8,764.29

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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.