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Finding the Fourth Proportional to 11,456.59, 15,802.95 and 6,739.96

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Solution

The fourth proportional to 11,456.59, 15,802.95 and 6,739.96 is: 9,296.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,456.59 : 15,802.95 = 6,739.96 : x
  2. Step 2: Convert to fraction form
    11,456.59/15,802.95 = 6,739.96/x
  3. Step 3: Cross multiply
    11,456.59x = 15,802.95 × 6,739.96
  4. Step 4: Simplify right side
    11,456.59x = 106,511,250.88
  5. Step 5: Solve for x
    x = 106,511,250.88/11,456.59
  6. Step 6: Final answer
    x = 9,296.94

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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.