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Finding the Fourth Proportional to 7,583.76, 11,375.64 and 2,389.50

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Solution

The fourth proportional to 7,583.76, 11,375.64 and 2,389.50 is: 3,584.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583.76 : 11,375.64 = 2,389.50 : x
  2. Step 2: Convert to fraction form
    7,583.76/11,375.64 = 2,389.50/x
  3. Step 3: Cross multiply
    7,583.76x = 11,375.64 × 2,389.50
  4. Step 4: Simplify right side
    7,583.76x = 27,182,091.78
  5. Step 5: Solve for x
    x = 27,182,091.78/7,583.76
  6. Step 6: Final answer
    x = 3,584.25

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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.