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Finding the Fourth Proportional to 8,341.20, 11,511.12 and 4,805.28

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Solution

The fourth proportional to 8,341.20, 11,511.12 and 4,805.28 is: 6,631.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,341.20 : 11,511.12 = 4,805.28 : x
  2. Step 2: Convert to fraction form
    8,341.20/11,511.12 = 4,805.28/x
  3. Step 3: Cross multiply
    8,341.20x = 11,511.12 × 4,805.28
  4. Step 4: Simplify right side
    8,341.20x = 55,314,154.71
  5. Step 5: Solve for x
    x = 55,314,154.71/8,341.20
  6. Step 6: Final answer
    x = 6,631.44

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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.