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Finding the Fourth Proportional to 11,009.12, 16,515.50 and 6,564.65

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Solution

The fourth proportional to 11,009.12, 16,515.50 and 6,564.65 is: 9,848.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009.12 : 16,515.50 = 6,564.65 : x
  2. Step 2: Convert to fraction form
    11,009.12/16,515.50 = 6,564.65/x
  3. Step 3: Cross multiply
    11,009.12x = 16,515.50 × 6,564.65
  4. Step 4: Simplify right side
    11,009.12x = 108,418,361.67
  5. Step 5: Solve for x
    x = 108,418,361.67/11,009.12
  6. Step 6: Final answer
    x = 9,848.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.