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Finding the Fourth Proportional to 8,430.32, 12,654.12 and 4,049.84

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Solution

The fourth proportional to 8,430.32, 12,654.12 and 4,049.84 is: 6,078.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.32 : 12,654.12 = 4,049.84 : x
  2. Step 2: Convert to fraction form
    8,430.32/12,654.12 = 4,049.84/x
  3. Step 3: Cross multiply
    8,430.32x = 12,654.12 × 4,049.84
  4. Step 4: Simplify right side
    8,430.32x = 51,247,161.34
  5. Step 5: Solve for x
    x = 51,247,161.34/8,430.32
  6. Step 6: Final answer
    x = 6,078.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.