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Finding the Fourth Proportional to 10,673.82, 14,735.07 and 7,493.85

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Solution

The fourth proportional to 10,673.82, 14,735.07 and 7,493.85 is: 10,345.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,673.82 : 14,735.07 = 7,493.85 : x
  2. Step 2: Convert to fraction form
    10,673.82/14,735.07 = 7,493.85/x
  3. Step 3: Cross multiply
    10,673.82x = 14,735.07 × 7,493.85
  4. Step 4: Simplify right side
    10,673.82x = 110,422,404.32
  5. Step 5: Solve for x
    x = 110,422,404.32/10,673.82
  6. Step 6: Final answer
    x = 10,345.16

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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.