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Finding the Fourth Proportional to 12,075.58, 18,082.44 and 7,148.76

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Solution

The fourth proportional to 12,075.58, 18,082.44 and 7,148.76 is: 10,704.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,075.58 : 18,082.44 = 7,148.76 : x
  2. Step 2: Convert to fraction form
    12,075.58/18,082.44 = 7,148.76/x
  3. Step 3: Cross multiply
    12,075.58x = 18,082.44 × 7,148.76
  4. Step 4: Simplify right side
    12,075.58x = 129,266,955.97
  5. Step 5: Solve for x
    x = 129,266,955.97/12,075.58
  6. Step 6: Final answer
    x = 10,704.82

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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.