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Finding the Fourth Proportional to 7,568.28, 11,423.50 and 7,568.28

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Solution

The fourth proportional to 7,568.28, 11,423.50 and 7,568.28 is: 11,423.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.28 : 11,423.50 = 7,568.28 : x
  2. Step 2: Convert to fraction form
    7,568.28/11,423.50 = 7,568.28/x
  3. Step 3: Cross multiply
    7,568.28x = 11,423.50 × 7,568.28
  4. Step 4: Simplify right side
    7,568.28x = 86,456,238.47
  5. Step 5: Solve for x
    x = 86,456,238.47/7,568.28
  6. Step 6: Final answer
    x = 11,423.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.