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Finding the Fourth Proportional to 13,076.10, 18,046.53 and 7,770.92

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Solution

The fourth proportional to 13,076.10, 18,046.53 and 7,770.92 is: 10,724.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,076.10 : 18,046.53 = 7,770.92 : x
  2. Step 2: Convert to fraction form
    13,076.10/18,046.53 = 7,770.92/x
  3. Step 3: Cross multiply
    13,076.10x = 18,046.53 × 7,770.92
  4. Step 4: Simplify right side
    13,076.10x = 140,238,050.67
  5. Step 5: Solve for x
    x = 140,238,050.67/13,076.10
  6. Step 6: Final answer
    x = 10,724.76

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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.