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Finding the Fourth Proportional to 7,860.83, 10,852.44 and 5,211.84

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Solution

The fourth proportional to 7,860.83, 10,852.44 and 5,211.84 is: 7,195.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.83 : 10,852.44 = 5,211.84 : x
  2. Step 2: Convert to fraction form
    7,860.83/10,852.44 = 5,211.84/x
  3. Step 3: Cross multiply
    7,860.83x = 10,852.44 × 5,211.84
  4. Step 4: Simplify right side
    7,860.83x = 56,561,180.89
  5. Step 5: Solve for x
    x = 56,561,180.89/7,860.83
  6. Step 6: Final answer
    x = 7,195.32

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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.