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Finding the Fourth Proportional to 7,627.68, 11,382.96 and 7,583.88

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Solution

The fourth proportional to 7,627.68, 11,382.96 and 7,583.88 is: 11,317.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,627.68 : 11,382.96 = 7,583.88 : x
  2. Step 2: Convert to fraction form
    7,627.68/11,382.96 = 7,583.88/x
  3. Step 3: Cross multiply
    7,627.68x = 11,382.96 × 7,583.88
  4. Step 4: Simplify right side
    7,627.68x = 86,327,002.68
  5. Step 5: Solve for x
    x = 86,327,002.68/7,627.68
  6. Step 6: Final answer
    x = 11,317.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.