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Finding the Fourth Proportional to 10,132.70, 13,983.03 and 5,656.64

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Solution

The fourth proportional to 10,132.70, 13,983.03 and 5,656.64 is: 7,806.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,132.70 : 13,983.03 = 5,656.64 : x
  2. Step 2: Convert to fraction form
    10,132.70/13,983.03 = 5,656.64/x
  3. Step 3: Cross multiply
    10,132.70x = 13,983.03 × 5,656.64
  4. Step 4: Simplify right side
    10,132.70x = 79,096,896.90
  5. Step 5: Solve for x
    x = 79,096,896.90/10,132.70
  6. Step 6: Final answer
    x = 7,806.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.