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Finding the Fourth Proportional to 8,431.85, 11,635.12 and 4,654.77

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Solution

The fourth proportional to 8,431.85, 11,635.12 and 4,654.77 is: 6,423.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.85 : 11,635.12 = 4,654.77 : x
  2. Step 2: Convert to fraction form
    8,431.85/11,635.12 = 4,654.77/x
  3. Step 3: Cross multiply
    8,431.85x = 11,635.12 × 4,654.77
  4. Step 4: Simplify right side
    8,431.85x = 54,158,795.89
  5. Step 5: Solve for x
    x = 54,158,795.89/8,431.85
  6. Step 6: Final answer
    x = 6,423.13

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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.