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Finding the Fourth Proportional to 11,775.70, 17,665.98 and 5,115.07

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Solution

The fourth proportional to 11,775.70, 17,665.98 and 5,115.07 is: 7,673.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.70 : 17,665.98 = 5,115.07 : x
  2. Step 2: Convert to fraction form
    11,775.70/17,665.98 = 5,115.07/x
  3. Step 3: Cross multiply
    11,775.70x = 17,665.98 × 5,115.07
  4. Step 4: Simplify right side
    11,775.70x = 90,362,724.32
  5. Step 5: Solve for x
    x = 90,362,724.32/11,775.70
  6. Step 6: Final answer
    x = 7,673.66

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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.