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Finding the Fourth Proportional to 8,423.28, 11,619.72 and 6,430.38

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Solution

The fourth proportional to 8,423.28, 11,619.72 and 6,430.38 is: 8,870.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,423.28 : 11,619.72 = 6,430.38 : x
  2. Step 2: Convert to fraction form
    8,423.28/11,619.72 = 6,430.38/x
  3. Step 3: Cross multiply
    8,423.28x = 11,619.72 × 6,430.38
  4. Step 4: Simplify right side
    8,423.28x = 74,719,215.09
  5. Step 5: Solve for x
    x = 74,719,215.09/8,423.28
  6. Step 6: Final answer
    x = 8,870.56

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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.