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Finding the Fourth Proportional to 7,585.74, 10,474.76 and 4,757.87

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Solution

The fourth proportional to 7,585.74, 10,474.76 and 4,757.87 is: 6,569.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.74 : 10,474.76 = 4,757.87 : x
  2. Step 2: Convert to fraction form
    7,585.74/10,474.76 = 4,757.87/x
  3. Step 3: Cross multiply
    7,585.74x = 10,474.76 × 4,757.87
  4. Step 4: Simplify right side
    7,585.74x = 49,837,584.44
  5. Step 5: Solve for x
    x = 49,837,584.44/7,585.74
  6. Step 6: Final answer
    x = 6,569.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.