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Finding the Fourth Proportional to 7,585.53, 11,378.70 and 2,391

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Solution

The fourth proportional to 7,585.53, 11,378.70 and 2,391 is: 3,586.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.53 : 11,378.70 = 2,391 : x
  2. Step 2: Convert to fraction form
    7,585.53/11,378.70 = 2,391/x
  3. Step 3: Cross multiply
    7,585.53x = 11,378.70 × 2,391
  4. Step 4: Simplify right side
    7,585.53x = 27,206,471.70
  5. Step 5: Solve for x
    x = 27,206,471.70/7,585.53
  6. Step 6: Final answer
    x = 3,586.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.