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Finding the Fourth Proportional to 7,660.28, 10,575.22 and 5,155.56

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Solution

The fourth proportional to 7,660.28, 10,575.22 and 5,155.56 is: 7,117.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.28 : 10,575.22 = 5,155.56 : x
  2. Step 2: Convert to fraction form
    7,660.28/10,575.22 = 5,155.56/x
  3. Step 3: Cross multiply
    7,660.28x = 10,575.22 × 5,155.56
  4. Step 4: Simplify right side
    7,660.28x = 54,521,181.22
  5. Step 5: Solve for x
    x = 54,521,181.22/7,660.28
  6. Step 6: Final answer
    x = 7,117.39

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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.