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Finding the Fourth Proportional to 7,507.68, 11,262.56 and 2,313.44

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Solution

The fourth proportional to 7,507.68, 11,262.56 and 2,313.44 is: 3,470.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,507.68 : 11,262.56 = 2,313.44 : x
  2. Step 2: Convert to fraction form
    7,507.68/11,262.56 = 2,313.44/x
  3. Step 3: Cross multiply
    7,507.68x = 11,262.56 × 2,313.44
  4. Step 4: Simplify right side
    7,507.68x = 26,055,256.81
  5. Step 5: Solve for x
    x = 26,055,256.81/7,507.68
  6. Step 6: Final answer
    x = 3,470.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.