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Finding the Fourth Proportional to 10,480.97, 14,463.76 and 5,765.25

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Solution

The fourth proportional to 10,480.97, 14,463.76 and 5,765.25 is: 7,956.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.97 : 14,463.76 = 5,765.25 : x
  2. Step 2: Convert to fraction form
    10,480.97/14,463.76 = 5,765.25/x
  3. Step 3: Cross multiply
    10,480.97x = 14,463.76 × 5,765.25
  4. Step 4: Simplify right side
    10,480.97x = 83,387,192.34
  5. Step 5: Solve for x
    x = 83,387,192.34/10,480.97
  6. Step 6: Final answer
    x = 7,956.06

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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.