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Finding the Fourth Proportional to 10,983.33, 15,157.22 and 6,204.24

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Solution

The fourth proportional to 10,983.33, 15,157.22 and 6,204.24 is: 8,561.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,983.33 : 15,157.22 = 6,204.24 : x
  2. Step 2: Convert to fraction form
    10,983.33/15,157.22 = 6,204.24/x
  3. Step 3: Cross multiply
    10,983.33x = 15,157.22 × 6,204.24
  4. Step 4: Simplify right side
    10,983.33x = 94,038,999.59
  5. Step 5: Solve for x
    x = 94,038,999.59/10,983.33
  6. Step 6: Final answer
    x = 8,561.98

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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.