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Finding the Fourth Proportional to 10,757.81, 14,805.33 and 9,101

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Solution

The fourth proportional to 10,757.81, 14,805.33 and 9,101 is: 12,525.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.81 : 14,805.33 = 9,101 : x
  2. Step 2: Convert to fraction form
    10,757.81/14,805.33 = 9,101/x
  3. Step 3: Cross multiply
    10,757.81x = 14,805.33 × 9,101
  4. Step 4: Simplify right side
    10,757.81x = 134,743,308.33
  5. Step 5: Solve for x
    x = 134,743,308.33/10,757.81
  6. Step 6: Final answer
    x = 12,525.16

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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.