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Finding the Fourth Proportional to 7,779.64, 10,735.68 and 4,422.82

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Solution

The fourth proportional to 7,779.64, 10,735.68 and 4,422.82 is: 6,103.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.64 : 10,735.68 = 4,422.82 : x
  2. Step 2: Convert to fraction form
    7,779.64/10,735.68 = 4,422.82/x
  3. Step 3: Cross multiply
    7,779.64x = 10,735.68 × 4,422.82
  4. Step 4: Simplify right side
    7,779.64x = 47,481,980.22
  5. Step 5: Solve for x
    x = 47,481,980.22/7,779.64
  6. Step 6: Final answer
    x = 6,103.36

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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.