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Finding the Fourth Proportional to 7,657.43, 11,475.36 and 6,090.48

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Solution

The fourth proportional to 7,657.43, 11,475.36 and 6,090.48 is: 9,127.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.43 : 11,475.36 = 6,090.48 : x
  2. Step 2: Convert to fraction form
    7,657.43/11,475.36 = 6,090.48/x
  3. Step 3: Cross multiply
    7,657.43x = 11,475.36 × 6,090.48
  4. Step 4: Simplify right side
    7,657.43x = 69,890,450.57
  5. Step 5: Solve for x
    x = 69,890,450.57/7,657.43
  6. Step 6: Final answer
    x = 9,127.15

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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.