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Finding the Fourth Proportional to 7,586.43, 10,469.76 and 5,224.47

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Solution

The fourth proportional to 7,586.43, 10,469.76 and 5,224.47 is: 7,210.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.43 : 10,469.76 = 5,224.47 : x
  2. Step 2: Convert to fraction form
    7,586.43/10,469.76 = 5,224.47/x
  3. Step 3: Cross multiply
    7,586.43x = 10,469.76 × 5,224.47
  4. Step 4: Simplify right side
    7,586.43x = 54,698,947.03
  5. Step 5: Solve for x
    x = 54,698,947.03/7,586.43
  6. Step 6: Final answer
    x = 7,210.10

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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.