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Finding the Fourth Proportional to 7,744.58, 11,601.93 and 4,627.07

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Solution

The fourth proportional to 7,744.58, 11,601.93 and 4,627.07 is: 6,931.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.58 : 11,601.93 = 4,627.07 : x
  2. Step 2: Convert to fraction form
    7,744.58/11,601.93 = 4,627.07/x
  3. Step 3: Cross multiply
    7,744.58x = 11,601.93 × 4,627.07
  4. Step 4: Simplify right side
    7,744.58x = 53,682,919.11
  5. Step 5: Solve for x
    x = 53,682,919.11/7,744.58
  6. Step 6: Final answer
    x = 6,931.68

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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.