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Finding the Fourth Proportional to 10,571.56, 14,588.86 and 6,379

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Solution

The fourth proportional to 10,571.56, 14,588.86 and 6,379 is: 8,803.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.56 : 14,588.86 = 6,379 : x
  2. Step 2: Convert to fraction form
    10,571.56/14,588.86 = 6,379/x
  3. Step 3: Cross multiply
    10,571.56x = 14,588.86 × 6,379
  4. Step 4: Simplify right side
    10,571.56x = 93,062,337.94
  5. Step 5: Solve for x
    x = 93,062,337.94/10,571.56
  6. Step 6: Final answer
    x = 8,803.08

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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.