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Finding the Fourth Proportional to 8,362.53, 11,535.48 and 5,213.25

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Solution

The fourth proportional to 8,362.53, 11,535.48 and 5,213.25 is: 7,191.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.53 : 11,535.48 = 5,213.25 : x
  2. Step 2: Convert to fraction form
    8,362.53/11,535.48 = 5,213.25/x
  3. Step 3: Cross multiply
    8,362.53x = 11,535.48 × 5,213.25
  4. Step 4: Simplify right side
    8,362.53x = 60,137,341.11
  5. Step 5: Solve for x
    x = 60,137,341.11/8,362.53
  6. Step 6: Final answer
    x = 7,191.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.