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Finding the Fourth Proportional to 10,559, 14,571.42 and 5,844

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Solution

The fourth proportional to 10,559, 14,571.42 and 5,844 is: 8,064.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,559 : 14,571.42 = 5,844 : x
  2. Step 2: Convert to fraction form
    10,559/14,571.42 = 5,844/x
  3. Step 3: Cross multiply
    10,559x = 14,571.42 × 5,844
  4. Step 4: Simplify right side
    10,559x = 85,155,378.48
  5. Step 5: Solve for x
    x = 85,155,378.48/10,559
  6. Step 6: Final answer
    x = 8,064.72

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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.