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Finding the Fourth Proportional to 11,451.38, 15,802.91 and 6,483.38

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Solution

The fourth proportional to 11,451.38, 15,802.91 and 6,483.38 is: 8,947.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,451.38 : 15,802.91 = 6,483.38 : x
  2. Step 2: Convert to fraction form
    11,451.38/15,802.91 = 6,483.38/x
  3. Step 3: Cross multiply
    11,451.38x = 15,802.91 × 6,483.38
  4. Step 4: Simplify right side
    11,451.38x = 102,456,159.20
  5. Step 5: Solve for x
    x = 102,456,159.20/11,451.38
  6. Step 6: Final answer
    x = 8,947.06

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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.