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Finding the Fourth Proportional to 10,496.77, 14,473.53 and 7,839.69

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Solution

The fourth proportional to 10,496.77, 14,473.53 and 7,839.69 is: 10,809.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.77 : 14,473.53 = 7,839.69 : x
  2. Step 2: Convert to fraction form
    10,496.77/14,473.53 = 7,839.69/x
  3. Step 3: Cross multiply
    10,496.77x = 14,473.53 × 7,839.69
  4. Step 4: Simplify right side
    10,496.77x = 113,467,949.21
  5. Step 5: Solve for x
    x = 113,467,949.21/10,496.77
  6. Step 6: Final answer
    x = 10,809.80

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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.