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Finding the Fourth Proportional to 10,448.33, 15,666.30 and 6,940.22

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Solution

The fourth proportional to 10,448.33, 15,666.30 and 6,940.22 is: 10,406.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.33 : 15,666.30 = 6,940.22 : x
  2. Step 2: Convert to fraction form
    10,448.33/15,666.30 = 6,940.22/x
  3. Step 3: Cross multiply
    10,448.33x = 15,666.30 × 6,940.22
  4. Step 4: Simplify right side
    10,448.33x = 108,727,490.25
  5. Step 5: Solve for x
    x = 108,727,490.25/10,448.33
  6. Step 6: Final answer
    x = 10,406.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.