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Finding the Fourth Proportional to 7,779.82, 10,735.88 and 4,242.96

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Solution

The fourth proportional to 7,779.82, 10,735.88 and 4,242.96 is: 5,855.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.82 : 10,735.88 = 4,242.96 : x
  2. Step 2: Convert to fraction form
    7,779.82/10,735.88 = 4,242.96/x
  3. Step 3: Cross multiply
    7,779.82x = 10,735.88 × 4,242.96
  4. Step 4: Simplify right side
    7,779.82x = 45,551,909.40
  5. Step 5: Solve for x
    x = 45,551,909.40/7,779.82
  6. Step 6: Final answer
    x = 5,855.14

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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.