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Finding the Fourth Proportional to 11,422.99, 15,757.15 and 6,706.36

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Solution

The fourth proportional to 11,422.99, 15,757.15 and 6,706.36 is: 9,250.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422.99 : 15,757.15 = 6,706.36 : x
  2. Step 2: Convert to fraction form
    11,422.99/15,757.15 = 6,706.36/x
  3. Step 3: Cross multiply
    11,422.99x = 15,757.15 × 6,706.36
  4. Step 4: Simplify right side
    11,422.99x = 105,673,008.16
  5. Step 5: Solve for x
    x = 105,673,008.16/11,422.99
  6. Step 6: Final answer
    x = 9,250.91

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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.