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Finding the Fourth Proportional to 7,892.55, 10,869.57 and 7,720.33

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Solution

The fourth proportional to 7,892.55, 10,869.57 and 7,720.33 is: 10,632.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.55 : 10,869.57 = 7,720.33 : x
  2. Step 2: Convert to fraction form
    7,892.55/10,869.57 = 7,720.33/x
  3. Step 3: Cross multiply
    7,892.55x = 10,869.57 × 7,720.33
  4. Step 4: Simplify right side
    7,892.55x = 83,916,640.18
  5. Step 5: Solve for x
    x = 83,916,640.18/7,892.55
  6. Step 6: Final answer
    x = 10,632.39

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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.