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Finding the Fourth Proportional to 7,779.24, 11,668.86 and 3,165.48

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Solution

The fourth proportional to 7,779.24, 11,668.86 and 3,165.48 is: 4,748.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.24 : 11,668.86 = 3,165.48 : x
  2. Step 2: Convert to fraction form
    7,779.24/11,668.86 = 3,165.48/x
  3. Step 3: Cross multiply
    7,779.24x = 11,668.86 × 3,165.48
  4. Step 4: Simplify right side
    7,779.24x = 36,937,542.95
  5. Step 5: Solve for x
    x = 36,937,542.95/7,779.24
  6. Step 6: Final answer
    x = 4,748.22

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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.