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Finding the Fourth Proportional to 8,567.56, 11,824.16 and 5,031.28

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Solution

The fourth proportional to 8,567.56, 11,824.16 and 5,031.28 is: 6,943.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,567.56 : 11,824.16 = 5,031.28 : x
  2. Step 2: Convert to fraction form
    8,567.56/11,824.16 = 5,031.28/x
  3. Step 3: Cross multiply
    8,567.56x = 11,824.16 × 5,031.28
  4. Step 4: Simplify right side
    8,567.56x = 59,490,659.72
  5. Step 5: Solve for x
    x = 59,490,659.72/8,567.56
  6. Step 6: Final answer
    x = 6,943.71

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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.