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Finding the Fourth Proportional to 11,356.65, 15,674.44 and 6,577.38

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Solution

The fourth proportional to 11,356.65, 15,674.44 and 6,577.38 is: 9,078.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,356.65 : 15,674.44 = 6,577.38 : x
  2. Step 2: Convert to fraction form
    11,356.65/15,674.44 = 6,577.38/x
  3. Step 3: Cross multiply
    11,356.65x = 15,674.44 × 6,577.38
  4. Step 4: Simplify right side
    11,356.65x = 103,096,731.72
  5. Step 5: Solve for x
    x = 103,096,731.72/11,356.65
  6. Step 6: Final answer
    x = 9,078.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.