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Finding the Fourth Proportional to 11,070, 15,276.82 and 6,034.20

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Solution

The fourth proportional to 11,070, 15,276.82 and 6,034.20 is: 8,327.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,070 : 15,276.82 = 6,034.20 : x
  2. Step 2: Convert to fraction form
    11,070/15,276.82 = 6,034.20/x
  3. Step 3: Cross multiply
    11,070x = 15,276.82 × 6,034.20
  4. Step 4: Simplify right side
    11,070x = 92,183,387.24
  5. Step 5: Solve for x
    x = 92,183,387.24/11,070
  6. Step 6: Final answer
    x = 8,327.32

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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.