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Finding the Fourth Proportional to 7,605.40, 11,393.22 and 6,779.80

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Solution

The fourth proportional to 7,605.40, 11,393.22 and 6,779.80 is: 10,156.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.40 : 11,393.22 = 6,779.80 : x
  2. Step 2: Convert to fraction form
    7,605.40/11,393.22 = 6,779.80/x
  3. Step 3: Cross multiply
    7,605.40x = 11,393.22 × 6,779.80
  4. Step 4: Simplify right side
    7,605.40x = 77,243,752.96
  5. Step 5: Solve for x
    x = 77,243,752.96/7,605.40
  6. Step 6: Final answer
    x = 10,156.44

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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.