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Finding the Fourth Proportional to 11,460.70, 15,794.35 and 8,938.84

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Solution

The fourth proportional to 11,460.70, 15,794.35 and 8,938.84 is: 12,318.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,460.70 : 15,794.35 = 8,938.84 : x
  2. Step 2: Convert to fraction form
    11,460.70/15,794.35 = 8,938.84/x
  3. Step 3: Cross multiply
    11,460.70x = 15,794.35 × 8,938.84
  4. Step 4: Simplify right side
    11,460.70x = 141,183,167.55
  5. Step 5: Solve for x
    x = 141,183,167.55/11,460.70
  6. Step 6: Final answer
    x = 12,318.90

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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.