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Finding the Fourth Proportional to 11,376, 17,064.72 and 3,055.84

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Solution

The fourth proportional to 11,376, 17,064.72 and 3,055.84 is: 4,583.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,376 : 17,064.72 = 3,055.84 : x
  2. Step 2: Convert to fraction form
    11,376/17,064.72 = 3,055.84/x
  3. Step 3: Cross multiply
    11,376x = 17,064.72 × 3,055.84
  4. Step 4: Simplify right side
    11,376x = 52,147,053.96
  5. Step 5: Solve for x
    x = 52,147,053.96/11,376
  6. Step 6: Final answer
    x = 4,583.95

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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.