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Finding the Fourth Proportional to 11,776.05, 17,664.08 and 7,396.58

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Solution

The fourth proportional to 11,776.05, 17,664.08 and 7,396.58 is: 11,094.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.05 : 17,664.08 = 7,396.58 : x
  2. Step 2: Convert to fraction form
    11,776.05/17,664.08 = 7,396.58/x
  3. Step 3: Cross multiply
    11,776.05x = 17,664.08 × 7,396.58
  4. Step 4: Simplify right side
    11,776.05x = 130,653,788.02
  5. Step 5: Solve for x
    x = 130,653,788.02/11,776.05
  6. Step 6: Final answer
    x = 11,094.87

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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.