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Finding the Fourth Proportional to 7,384.56, 11,075.76 and 2,454.48

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Solution

The fourth proportional to 7,384.56, 11,075.76 and 2,454.48 is: 3,681.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384.56 : 11,075.76 = 2,454.48 : x
  2. Step 2: Convert to fraction form
    7,384.56/11,075.76 = 2,454.48/x
  3. Step 3: Cross multiply
    7,384.56x = 11,075.76 × 2,454.48
  4. Step 4: Simplify right side
    7,384.56x = 27,185,231.40
  5. Step 5: Solve for x
    x = 27,185,231.40/7,384.56
  6. Step 6: Final answer
    x = 3,681.36

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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.