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Finding the Fourth Proportional to 8,382.82, 11,570.38 and 4,845.52

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Solution

The fourth proportional to 8,382.82, 11,570.38 and 4,845.52 is: 6,688.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.82 : 11,570.38 = 4,845.52 : x
  2. Step 2: Convert to fraction form
    8,382.82/11,570.38 = 4,845.52/x
  3. Step 3: Cross multiply
    8,382.82x = 11,570.38 × 4,845.52
  4. Step 4: Simplify right side
    8,382.82x = 56,064,507.70
  5. Step 5: Solve for x
    x = 56,064,507.70/8,382.82
  6. Step 6: Final answer
    x = 6,688.02

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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.