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Finding the Fourth Proportional to 11,964.72, 17,926.16 and 7,798.08

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Solution

The fourth proportional to 11,964.72, 17,926.16 and 7,798.08 is: 11,683.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964.72 : 17,926.16 = 7,798.08 : x
  2. Step 2: Convert to fraction form
    11,964.72/17,926.16 = 7,798.08/x
  3. Step 3: Cross multiply
    11,964.72x = 17,926.16 × 7,798.08
  4. Step 4: Simplify right side
    11,964.72x = 139,789,629.77
  5. Step 5: Solve for x
    x = 139,789,629.77/11,964.72
  6. Step 6: Final answer
    x = 11,683.49

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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.