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Finding the Fourth Proportional to 7,720.08, 10,653.24 and 4,735.92

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Solution

The fourth proportional to 7,720.08, 10,653.24 and 4,735.92 is: 6,535.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.08 : 10,653.24 = 4,735.92 : x
  2. Step 2: Convert to fraction form
    7,720.08/10,653.24 = 4,735.92/x
  3. Step 3: Cross multiply
    7,720.08x = 10,653.24 × 4,735.92
  4. Step 4: Simplify right side
    7,720.08x = 50,452,892.38
  5. Step 5: Solve for x
    x = 50,452,892.38/7,720.08
  6. Step 6: Final answer
    x = 6,535.28

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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.