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Finding the Fourth Proportional to 11,458.96, 17,193.53 and 7,297.89

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Solution

The fourth proportional to 11,458.96, 17,193.53 and 7,297.89 is: 10,950.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,458.96 : 17,193.53 = 7,297.89 : x
  2. Step 2: Convert to fraction form
    11,458.96/17,193.53 = 7,297.89/x
  3. Step 3: Cross multiply
    11,458.96x = 17,193.53 × 7,297.89
  4. Step 4: Simplify right side
    11,458.96x = 125,476,454.16
  5. Step 5: Solve for x
    x = 125,476,454.16/11,458.96
  6. Step 6: Final answer
    x = 10,950.08

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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.