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Finding the Fourth Proportional to 7,585.74, 11,375.54 and 2,654.22

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Solution

The fourth proportional to 7,585.74, 11,375.54 and 2,654.22 is: 3,980.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.74 : 11,375.54 = 2,654.22 : x
  2. Step 2: Convert to fraction form
    7,585.74/11,375.54 = 2,654.22/x
  3. Step 3: Cross multiply
    7,585.74x = 11,375.54 × 2,654.22
  4. Step 4: Simplify right side
    7,585.74x = 30,193,172.51
  5. Step 5: Solve for x
    x = 30,193,172.51/7,585.74
  6. Step 6: Final answer
    x = 3,980.25

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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.