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Finding the Fourth Proportional to 7,659.28, 10,569.36 and 4,472.20

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Solution

The fourth proportional to 7,659.28, 10,569.36 and 4,472.20 is: 6,171.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,659.28 : 10,569.36 = 4,472.20 : x
  2. Step 2: Convert to fraction form
    7,659.28/10,569.36 = 4,472.20/x
  3. Step 3: Cross multiply
    7,659.28x = 10,569.36 × 4,472.20
  4. Step 4: Simplify right side
    7,659.28x = 47,268,291.79
  5. Step 5: Solve for x
    x = 47,268,291.79/7,659.28
  6. Step 6: Final answer
    x = 6,171.38

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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.