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Finding the Fourth Proportional to 11,542.44, 15,931.02 and 7,293.18

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Solution

The fourth proportional to 11,542.44, 15,931.02 and 7,293.18 is: 10,066.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542.44 : 15,931.02 = 7,293.18 : x
  2. Step 2: Convert to fraction form
    11,542.44/15,931.02 = 7,293.18/x
  3. Step 3: Cross multiply
    11,542.44x = 15,931.02 × 7,293.18
  4. Step 4: Simplify right side
    11,542.44x = 116,187,796.44
  5. Step 5: Solve for x
    x = 116,187,796.44/11,542.44
  6. Step 6: Final answer
    x = 10,066.14

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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.