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Finding the Fourth Proportional to 7,780.35, 10,736.94 and 4,243.59

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Solution

The fourth proportional to 7,780.35, 10,736.94 and 4,243.59 is: 5,856.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.35 : 10,736.94 = 4,243.59 : x
  2. Step 2: Convert to fraction form
    7,780.35/10,736.94 = 4,243.59/x
  3. Step 3: Cross multiply
    7,780.35x = 10,736.94 × 4,243.59
  4. Step 4: Simplify right side
    7,780.35x = 45,563,096.31
  5. Step 5: Solve for x
    x = 45,563,096.31/7,780.35
  6. Step 6: Final answer
    x = 5,856.18

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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.