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Finding the Fourth Proportional to 10,682.82, 14,735.43 and 7,097.70

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Solution

The fourth proportional to 10,682.82, 14,735.43 and 7,097.70 is: 9,790.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.82 : 14,735.43 = 7,097.70 : x
  2. Step 2: Convert to fraction form
    10,682.82/14,735.43 = 7,097.70/x
  3. Step 3: Cross multiply
    10,682.82x = 14,735.43 × 7,097.70
  4. Step 4: Simplify right side
    10,682.82x = 104,587,661.51
  5. Step 5: Solve for x
    x = 104,587,661.51/10,682.82
  6. Step 6: Final answer
    x = 9,790.27

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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.