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Finding the Fourth Proportional to 11,690.96, 17,536.44 and 4,764.24

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Solution

The fourth proportional to 11,690.96, 17,536.44 and 4,764.24 is: 7,146.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,690.96 : 17,536.44 = 4,764.24 : x
  2. Step 2: Convert to fraction form
    11,690.96/17,536.44 = 4,764.24/x
  3. Step 3: Cross multiply
    11,690.96x = 17,536.44 × 4,764.24
  4. Step 4: Simplify right side
    11,690.96x = 83,547,808.91
  5. Step 5: Solve for x
    x = 83,547,808.91/11,690.96
  6. Step 6: Final answer
    x = 7,146.36

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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.