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Finding the Fourth Proportional to 8,431.56, 11,635.49 and 4,654.72

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Solution

The fourth proportional to 8,431.56, 11,635.49 and 4,654.72 is: 6,423.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.56 : 11,635.49 = 4,654.72 : x
  2. Step 2: Convert to fraction form
    8,431.56/11,635.49 = 4,654.72/x
  3. Step 3: Cross multiply
    8,431.56x = 11,635.49 × 4,654.72
  4. Step 4: Simplify right side
    8,431.56x = 54,159,948.01
  5. Step 5: Solve for x
    x = 54,159,948.01/8,431.56
  6. Step 6: Final answer
    x = 6,423.48

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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.