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Finding the Fourth Proportional to 7,385.10, 11,076.44 and 3,683.40

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Solution

The fourth proportional to 7,385.10, 11,076.44 and 3,683.40 is: 5,524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,385.10 : 11,076.44 = 3,683.40 : x
  2. Step 2: Convert to fraction form
    7,385.10/11,076.44 = 3,683.40/x
  3. Step 3: Cross multiply
    7,385.10x = 11,076.44 × 3,683.40
  4. Step 4: Simplify right side
    7,385.10x = 40,798,959.10
  5. Step 5: Solve for x
    x = 40,798,959.10/7,385.10
  6. Step 6: Final answer
    x = 5,524.50

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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.