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Finding the Fourth Proportional to 10,195.47, 14,073.75 and 7,226.82

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Solution

The fourth proportional to 10,195.47, 14,073.75 and 7,226.82 is: 9,975.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.47 : 14,073.75 = 7,226.82 : x
  2. Step 2: Convert to fraction form
    10,195.47/14,073.75 = 7,226.82/x
  3. Step 3: Cross multiply
    10,195.47x = 14,073.75 × 7,226.82
  4. Step 4: Simplify right side
    10,195.47x = 101,708,457.98
  5. Step 5: Solve for x
    x = 101,708,457.98/10,195.47
  6. Step 6: Final answer
    x = 9,975.85

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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.