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Finding the Fourth Proportional to 7,585.87, 11,378.46 and 2,656.62

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Solution

The fourth proportional to 7,585.87, 11,378.46 and 2,656.62 is: 3,984.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.87 : 11,378.46 = 2,656.62 : x
  2. Step 2: Convert to fraction form
    7,585.87/11,378.46 = 2,656.62/x
  3. Step 3: Cross multiply
    7,585.87x = 11,378.46 × 2,656.62
  4. Step 4: Simplify right side
    7,585.87x = 30,228,244.41
  5. Step 5: Solve for x
    x = 30,228,244.41/7,585.87
  6. Step 6: Final answer
    x = 3,984.81

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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.