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Finding the Fourth Proportional to 6,232.30, 8,598.38 and 4,111.81

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Solution

The fourth proportional to 6,232.30, 8,598.38 and 4,111.81 is: 5,672.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.30 : 8,598.38 = 4,111.81 : x
  2. Step 2: Convert to fraction form
    6,232.30/8,598.38 = 4,111.81/x
  3. Step 3: Cross multiply
    6,232.30x = 8,598.38 × 4,111.81
  4. Step 4: Simplify right side
    6,232.30x = 35,354,862.81
  5. Step 5: Solve for x
    x = 35,354,862.81/6,232.30
  6. Step 6: Final answer
    x = 5,672.85

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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.