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Finding the Fourth Proportional to 11,616.84, 17,429.04 and 7,913.52

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Solution

The fourth proportional to 11,616.84, 17,429.04 and 7,913.52 is: 11,872.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.84 : 17,429.04 = 7,913.52 : x
  2. Step 2: Convert to fraction form
    11,616.84/17,429.04 = 7,913.52/x
  3. Step 3: Cross multiply
    11,616.84x = 17,429.04 × 7,913.52
  4. Step 4: Simplify right side
    11,616.84x = 137,925,056.62
  5. Step 5: Solve for x
    x = 137,925,056.62/11,616.84
  6. Step 6: Final answer
    x = 11,872.85

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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.