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Finding the Fourth Proportional to 10,133.28, 13,982.22 and 5,656.86

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Solution

The fourth proportional to 10,133.28, 13,982.22 and 5,656.86 is: 7,805.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,133.28 : 13,982.22 = 5,656.86 : x
  2. Step 2: Convert to fraction form
    10,133.28/13,982.22 = 5,656.86/x
  3. Step 3: Cross multiply
    10,133.28x = 13,982.22 × 5,656.86
  4. Step 4: Simplify right side
    10,133.28x = 79,095,461.03
  5. Step 5: Solve for x
    x = 79,095,461.03/10,133.28
  6. Step 6: Final answer
    x = 7,805.51

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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.