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Finding the Fourth Proportional to 11,565.65, 17,320.51 and 6,620.31

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Solution

The fourth proportional to 11,565.65, 17,320.51 and 6,620.31 is: 9,914.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.65 : 17,320.51 = 6,620.31 : x
  2. Step 2: Convert to fraction form
    11,565.65/17,320.51 = 6,620.31/x
  3. Step 3: Cross multiply
    11,565.65x = 17,320.51 × 6,620.31
  4. Step 4: Simplify right side
    11,565.65x = 114,667,145.56
  5. Step 5: Solve for x
    x = 114,667,145.56/11,565.65
  6. Step 6: Final answer
    x = 9,914.46

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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.