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Finding the Fourth Proportional to 11,579.90, 15,980.36 and 6,798.60

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Solution

The fourth proportional to 11,579.90, 15,980.36 and 6,798.60 is: 9,382.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,579.90 : 15,980.36 = 6,798.60 : x
  2. Step 2: Convert to fraction form
    11,579.90/15,980.36 = 6,798.60/x
  3. Step 3: Cross multiply
    11,579.90x = 15,980.36 × 6,798.60
  4. Step 4: Simplify right side
    11,579.90x = 108,644,041.50
  5. Step 5: Solve for x
    x = 108,644,041.50/11,579.90
  6. Step 6: Final answer
    x = 9,382.13

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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.