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Finding the Fourth Proportional to 10,685.33, 14,734.43 and 7,333.04

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Solution

The fourth proportional to 10,685.33, 14,734.43 and 7,333.04 is: 10,111.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.33 : 14,734.43 = 7,333.04 : x
  2. Step 2: Convert to fraction form
    10,685.33/14,734.43 = 7,333.04/x
  3. Step 3: Cross multiply
    10,685.33x = 14,734.43 × 7,333.04
  4. Step 4: Simplify right side
    10,685.33x = 108,048,127.90
  5. Step 5: Solve for x
    x = 108,048,127.90/10,685.33
  6. Step 6: Final answer
    x = 10,111.82

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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.