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Finding the Fourth Proportional to 10,825.66, 14,939.50 and 6,352.06

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Solution

The fourth proportional to 10,825.66, 14,939.50 and 6,352.06 is: 8,765.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.66 : 14,939.50 = 6,352.06 : x
  2. Step 2: Convert to fraction form
    10,825.66/14,939.50 = 6,352.06/x
  3. Step 3: Cross multiply
    10,825.66x = 14,939.50 × 6,352.06
  4. Step 4: Simplify right side
    10,825.66x = 94,896,600.37
  5. Step 5: Solve for x
    x = 94,896,600.37/10,825.66
  6. Step 6: Final answer
    x = 8,765.90

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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.