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Finding the Fourth Proportional to 10,558.26, 14,570.81 and 7,202.61

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Solution

The fourth proportional to 10,558.26, 14,570.81 and 7,202.61 is: 9,939.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,558.26 : 14,570.81 = 7,202.61 : x
  2. Step 2: Convert to fraction form
    10,558.26/14,570.81 = 7,202.61/x
  3. Step 3: Cross multiply
    10,558.26x = 14,570.81 × 7,202.61
  4. Step 4: Simplify right side
    10,558.26x = 104,947,825.80
  5. Step 5: Solve for x
    x = 104,947,825.80/10,558.26
  6. Step 6: Final answer
    x = 9,939.88

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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.