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Finding the Fourth Proportional to 11,548.68, 15,924.64 and 7,351.56

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Solution

The fourth proportional to 11,548.68, 15,924.64 and 7,351.56 is: 10,137.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548.68 : 15,924.64 = 7,351.56 : x
  2. Step 2: Convert to fraction form
    11,548.68/15,924.64 = 7,351.56/x
  3. Step 3: Cross multiply
    11,548.68x = 15,924.64 × 7,351.56
  4. Step 4: Simplify right side
    11,548.68x = 117,070,946.44
  5. Step 5: Solve for x
    x = 117,070,946.44/11,548.68
  6. Step 6: Final answer
    x = 10,137.17

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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.