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Finding the Fourth Proportional to 10,496.84, 14,485.82 and 5,781.08

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Solution

The fourth proportional to 10,496.84, 14,485.82 and 5,781.08 is: 7,977.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.84 : 14,485.82 = 5,781.08 : x
  2. Step 2: Convert to fraction form
    10,496.84/14,485.82 = 5,781.08/x
  3. Step 3: Cross multiply
    10,496.84x = 14,485.82 × 5,781.08
  4. Step 4: Simplify right side
    10,496.84x = 83,743,684.29
  5. Step 5: Solve for x
    x = 83,743,684.29/10,496.84
  6. Step 6: Final answer
    x = 7,977.99

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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.