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Finding the Fourth Proportional to 7,649.33, 11,475.03 and 2,384.70

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Solution

The fourth proportional to 7,649.33, 11,475.03 and 2,384.70 is: 3,577.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.33 : 11,475.03 = 2,384.70 : x
  2. Step 2: Convert to fraction form
    7,649.33/11,475.03 = 2,384.70/x
  3. Step 3: Cross multiply
    7,649.33x = 11,475.03 × 2,384.70
  4. Step 4: Simplify right side
    7,649.33x = 27,364,504.04
  5. Step 5: Solve for x
    x = 27,364,504.04/7,649.33
  6. Step 6: Final answer
    x = 3,577.38

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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.