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Finding the Fourth Proportional to 11,209.84, 15,475.79 and 6,734.69

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Solution

The fourth proportional to 11,209.84, 15,475.79 and 6,734.69 is: 9,297.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,209.84 : 15,475.79 = 6,734.69 : x
  2. Step 2: Convert to fraction form
    11,209.84/15,475.79 = 6,734.69/x
  3. Step 3: Cross multiply
    11,209.84x = 15,475.79 × 6,734.69
  4. Step 4: Simplify right side
    11,209.84x = 104,224,648.16
  5. Step 5: Solve for x
    x = 104,224,648.16/11,209.84
  6. Step 6: Final answer
    x = 9,297.61

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