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Finding the Fourth Proportional to 6,726.08, 10,072 and 5,627.68

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Solution

The fourth proportional to 6,726.08, 10,072 and 5,627.68 is: 8,427.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,726.08 : 10,072 = 5,627.68 : x
  2. Step 2: Convert to fraction form
    6,726.08/10,072 = 5,627.68/x
  3. Step 3: Cross multiply
    6,726.08x = 10,072 × 5,627.68
  4. Step 4: Simplify right side
    6,726.08x = 56,681,992.96
  5. Step 5: Solve for x
    x = 56,681,992.96/6,726.08
  6. Step 6: Final answer
    x = 8,427.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.