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Finding the Fourth Proportional to 7,585.35, 11,378.04 and 4,144.47

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Solution

The fourth proportional to 7,585.35, 11,378.04 and 4,144.47 is: 6,216.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.35 : 11,378.04 = 4,144.47 : x
  2. Step 2: Convert to fraction form
    7,585.35/11,378.04 = 4,144.47/x
  3. Step 3: Cross multiply
    7,585.35x = 11,378.04 × 4,144.47
  4. Step 4: Simplify right side
    7,585.35x = 47,155,945.44
  5. Step 5: Solve for x
    x = 47,155,945.44/7,585.35
  6. Step 6: Final answer
    x = 6,216.71

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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.