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Finding the Fourth Proportional to 8,290.80, 11,437.50 and 5,779.08

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Solution

The fourth proportional to 8,290.80, 11,437.50 and 5,779.08 is: 7,972.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.80 : 11,437.50 = 5,779.08 : x
  2. Step 2: Convert to fraction form
    8,290.80/11,437.50 = 5,779.08/x
  3. Step 3: Cross multiply
    8,290.80x = 11,437.50 × 5,779.08
  4. Step 4: Simplify right side
    8,290.80x = 66,098,227.50
  5. Step 5: Solve for x
    x = 66,098,227.50/8,290.80
  6. Step 6: Final answer
    x = 7,972.48

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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.