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Finding the Fourth Proportional to 7,577.92, 10,448.38 and 6,320.80

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Solution

The fourth proportional to 7,577.92, 10,448.38 and 6,320.80 is: 8,715.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.92 : 10,448.38 = 6,320.80 : x
  2. Step 2: Convert to fraction form
    7,577.92/10,448.38 = 6,320.80/x
  3. Step 3: Cross multiply
    7,577.92x = 10,448.38 × 6,320.80
  4. Step 4: Simplify right side
    7,577.92x = 66,042,120.30
  5. Step 5: Solve for x
    x = 66,042,120.30/7,577.92
  6. Step 6: Final answer
    x = 8,715.07

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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.