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Finding the Fourth Proportional to 7,384.10, 11,075.97 and 3,000.47

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Solution

The fourth proportional to 7,384.10, 11,075.97 and 3,000.47 is: 4,500.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384.10 : 11,075.97 = 3,000.47 : x
  2. Step 2: Convert to fraction form
    7,384.10/11,075.97 = 3,000.47/x
  3. Step 3: Cross multiply
    7,384.10x = 11,075.97 × 3,000.47
  4. Step 4: Simplify right side
    7,384.10x = 33,233,115.71
  5. Step 5: Solve for x
    x = 33,233,115.71/7,384.10
  6. Step 6: Final answer
    x = 4,500.63

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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.