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Finding the Fourth Proportional to 7,852.82, 11,780.96 and 4,347.94

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Solution

The fourth proportional to 7,852.82, 11,780.96 and 4,347.94 is: 6,522.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.82 : 11,780.96 = 4,347.94 : x
  2. Step 2: Convert to fraction form
    7,852.82/11,780.96 = 4,347.94/x
  3. Step 3: Cross multiply
    7,852.82x = 11,780.96 × 4,347.94
  4. Step 4: Simplify right side
    7,852.82x = 51,222,907.22
  5. Step 5: Solve for x
    x = 51,222,907.22/7,852.82
  6. Step 6: Final answer
    x = 6,522.87

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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.