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Finding the Fourth Proportional to 7,111.80, 9,764.55 and 5,775.30

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Solution

The fourth proportional to 7,111.80, 9,764.55 and 5,775.30 is: 7,929.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.80 : 9,764.55 = 5,775.30 : x
  2. Step 2: Convert to fraction form
    7,111.80/9,764.55 = 5,775.30/x
  3. Step 3: Cross multiply
    7,111.80x = 9,764.55 × 5,775.30
  4. Step 4: Simplify right side
    7,111.80x = 56,393,205.62
  5. Step 5: Solve for x
    x = 56,393,205.62/7,111.80
  6. Step 6: Final answer
    x = 7,929.53

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.