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Finding the Fourth Proportional to 7,852.68, 11,779.02 and 3,468.96

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Solution

The fourth proportional to 7,852.68, 11,779.02 and 3,468.96 is: 5,203.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.68 : 11,779.02 = 3,468.96 : x
  2. Step 2: Convert to fraction form
    7,852.68/11,779.02 = 3,468.96/x
  3. Step 3: Cross multiply
    7,852.68x = 11,779.02 × 3,468.96
  4. Step 4: Simplify right side
    7,852.68x = 40,860,949.22
  5. Step 5: Solve for x
    x = 40,860,949.22/7,852.68
  6. Step 6: Final answer
    x = 5,203.44

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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.