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Finding the Fourth Proportional to 11,175.03, 15,424.08 and 7,398.34

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Solution

The fourth proportional to 11,175.03, 15,424.08 and 7,398.34 is: 10,211.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,175.03 : 15,424.08 = 7,398.34 : x
  2. Step 2: Convert to fraction form
    11,175.03/15,424.08 = 7,398.34/x
  3. Step 3: Cross multiply
    11,175.03x = 15,424.08 × 7,398.34
  4. Step 4: Simplify right side
    11,175.03x = 114,112,510.91
  5. Step 5: Solve for x
    x = 114,112,510.91/11,175.03
  6. Step 6: Final answer
    x = 10,211.39

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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.