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Finding the Fourth Proportional to 11,470.82, 15,821.73 and 7,496.55

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Solution

The fourth proportional to 11,470.82, 15,821.73 and 7,496.55 is: 10,340.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.82 : 15,821.73 = 7,496.55 : x
  2. Step 2: Convert to fraction form
    11,470.82/15,821.73 = 7,496.55/x
  3. Step 3: Cross multiply
    11,470.82x = 15,821.73 × 7,496.55
  4. Step 4: Simplify right side
    11,470.82x = 118,608,390.03
  5. Step 5: Solve for x
    x = 118,608,390.03/11,470.82
  6. Step 6: Final answer
    x = 10,340.01

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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.