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Finding the Fourth Proportional to 11,437.68, 17,138.88 and 7,725.36

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Solution

The fourth proportional to 11,437.68, 17,138.88 and 7,725.36 is: 11,576.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,437.68 : 17,138.88 = 7,725.36 : x
  2. Step 2: Convert to fraction form
    11,437.68/17,138.88 = 7,725.36/x
  3. Step 3: Cross multiply
    11,437.68x = 17,138.88 × 7,725.36
  4. Step 4: Simplify right side
    11,437.68x = 132,404,018.00
  5. Step 5: Solve for x
    x = 132,404,018.00/11,437.68
  6. Step 6: Final answer
    x = 11,576.13

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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.