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Finding the Fourth Proportional to 11,034.25, 15,216.78 and 7,260.63

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Solution

The fourth proportional to 11,034.25, 15,216.78 and 7,260.63 is: 10,012.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,034.25 : 15,216.78 = 7,260.63 : x
  2. Step 2: Convert to fraction form
    11,034.25/15,216.78 = 7,260.63/x
  3. Step 3: Cross multiply
    11,034.25x = 15,216.78 × 7,260.63
  4. Step 4: Simplify right side
    11,034.25x = 110,483,409.37
  5. Step 5: Solve for x
    x = 110,483,409.37/11,034.25
  6. Step 6: Final answer
    x = 10,012.77

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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.