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Finding the Fourth Proportional to 10,556.30, 14,571.02 and 6,310.49

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Solution

The fourth proportional to 10,556.30, 14,571.02 and 6,310.49 is: 8,710.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,556.30 : 14,571.02 = 6,310.49 : x
  2. Step 2: Convert to fraction form
    10,556.30/14,571.02 = 6,310.49/x
  3. Step 3: Cross multiply
    10,556.30x = 14,571.02 × 6,310.49
  4. Step 4: Simplify right side
    10,556.30x = 91,950,244.45
  5. Step 5: Solve for x
    x = 91,950,244.45/10,556.30
  6. Step 6: Final answer
    x = 8,710.46

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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.