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Finding the Fourth Proportional to 7,644.46, 11,461.25 and 2,960.51

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Solution

The fourth proportional to 7,644.46, 11,461.25 and 2,960.51 is: 4,438.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.46 : 11,461.25 = 2,960.51 : x
  2. Step 2: Convert to fraction form
    7,644.46/11,461.25 = 2,960.51/x
  3. Step 3: Cross multiply
    7,644.46x = 11,461.25 × 2,960.51
  4. Step 4: Simplify right side
    7,644.46x = 33,931,130.43
  5. Step 5: Solve for x
    x = 33,931,130.43/7,644.46
  6. Step 6: Final answer
    x = 4,438.66

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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.