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Finding the Fourth Proportional to 7,586.43, 10,468 and 4,228.50

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Solution

The fourth proportional to 7,586.43, 10,468 and 4,228.50 is: 5,834.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.43 : 10,468 = 4,228.50 : x
  2. Step 2: Convert to fraction form
    7,586.43/10,468 = 4,228.50/x
  3. Step 3: Cross multiply
    7,586.43x = 10,468 × 4,228.50
  4. Step 4: Simplify right side
    7,586.43x = 44,263,938
  5. Step 5: Solve for x
    x = 44,263,938/7,586.43
  6. Step 6: Final answer
    x = 5,834.62

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Why These Related Problems?

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