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Finding the Fourth Proportional to 11,296.20, 15,580.98 and 7,946.04

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Solution

The fourth proportional to 11,296.20, 15,580.98 and 7,946.04 is: 10,960.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,296.20 : 15,580.98 = 7,946.04 : x
  2. Step 2: Convert to fraction form
    11,296.20/15,580.98 = 7,946.04/x
  3. Step 3: Cross multiply
    11,296.20x = 15,580.98 × 7,946.04
  4. Step 4: Simplify right side
    11,296.20x = 123,807,090.32
  5. Step 5: Solve for x
    x = 123,807,090.32/11,296.20
  6. Step 6: Final answer
    x = 10,960.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.