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Finding the Fourth Proportional to 7,852.44, 11,780.39 and 4,347.56

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Solution

The fourth proportional to 7,852.44, 11,780.39 and 4,347.56 is: 6,522.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.44 : 11,780.39 = 4,347.56 : x
  2. Step 2: Convert to fraction form
    7,852.44/11,780.39 = 4,347.56/x
  3. Step 3: Cross multiply
    7,852.44x = 11,780.39 × 4,347.56
  4. Step 4: Simplify right side
    7,852.44x = 51,215,871.71
  5. Step 5: Solve for x
    x = 51,215,871.71/7,852.44
  6. Step 6: Final answer
    x = 6,522.29

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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.