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Finding the Fourth Proportional to 11,397.94, 15,727.74 and 6,362.44

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Solution

The fourth proportional to 11,397.94, 15,727.74 and 6,362.44 is: 8,779.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397.94 : 15,727.74 = 6,362.44 : x
  2. Step 2: Convert to fraction form
    11,397.94/15,727.74 = 6,362.44/x
  3. Step 3: Cross multiply
    11,397.94x = 15,727.74 × 6,362.44
  4. Step 4: Simplify right side
    11,397.94x = 100,066,802.09
  5. Step 5: Solve for x
    x = 100,066,802.09/11,397.94
  6. Step 6: Final answer
    x = 8,779.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.