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Finding the Fourth Proportional to 6,232.76, 8,589.33 and 4,461.29

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Solution

The fourth proportional to 6,232.76, 8,589.33 and 4,461.29 is: 6,148.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.76 : 8,589.33 = 4,461.29 : x
  2. Step 2: Convert to fraction form
    6,232.76/8,589.33 = 4,461.29/x
  3. Step 3: Cross multiply
    6,232.76x = 8,589.33 × 4,461.29
  4. Step 4: Simplify right side
    6,232.76x = 38,319,449.09
  5. Step 5: Solve for x
    x = 38,319,449.09/6,232.76
  6. Step 6: Final answer
    x = 6,148.08

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