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Finding the Fourth Proportional to 10,546.84, 14,554.14 and 5,767.03

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Solution

The fourth proportional to 10,546.84, 14,554.14 and 5,767.03 is: 7,958.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546.84 : 14,554.14 = 5,767.03 : x
  2. Step 2: Convert to fraction form
    10,546.84/14,554.14 = 5,767.03/x
  3. Step 3: Cross multiply
    10,546.84x = 14,554.14 × 5,767.03
  4. Step 4: Simplify right side
    10,546.84x = 83,934,162.00
  5. Step 5: Solve for x
    x = 83,934,162.00/10,546.84
  6. Step 6: Final answer
    x = 7,958.23

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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.