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Finding the Fourth Proportional to 11,430.46, 15,772.68 and 6,394.96

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Solution

The fourth proportional to 11,430.46, 15,772.68 and 6,394.96 is: 8,824.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.46 : 15,772.68 = 6,394.96 : x
  2. Step 2: Convert to fraction form
    11,430.46/15,772.68 = 6,394.96/x
  3. Step 3: Cross multiply
    11,430.46x = 15,772.68 × 6,394.96
  4. Step 4: Simplify right side
    11,430.46x = 100,865,657.69
  5. Step 5: Solve for x
    x = 100,865,657.69/11,430.46
  6. Step 6: Final answer
    x = 8,824.29

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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.