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Finding the Fourth Proportional to 7,385.72, 11,076.16 and 2,454

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Solution

The fourth proportional to 7,385.72, 11,076.16 and 2,454 is: 3,680.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,385.72 : 11,076.16 = 2,454 : x
  2. Step 2: Convert to fraction form
    7,385.72/11,076.16 = 2,454/x
  3. Step 3: Cross multiply
    7,385.72x = 11,076.16 × 2,454
  4. Step 4: Simplify right side
    7,385.72x = 27,180,896.64
  5. Step 5: Solve for x
    x = 27,180,896.64/7,385.72
  6. Step 6: Final answer
    x = 3,680.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.