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Finding the Fourth Proportional to 11,532.96, 17,302.32 and 6,608.16

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Solution

The fourth proportional to 11,532.96, 17,302.32 and 6,608.16 is: 9,913.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,532.96 : 17,302.32 = 6,608.16 : x
  2. Step 2: Convert to fraction form
    11,532.96/17,302.32 = 6,608.16/x
  3. Step 3: Cross multiply
    11,532.96x = 17,302.32 × 6,608.16
  4. Step 4: Simplify right side
    11,532.96x = 114,336,498.93
  5. Step 5: Solve for x
    x = 114,336,498.93/11,532.96
  6. Step 6: Final answer
    x = 9,913.89

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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.