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Finding the Fourth Proportional to 11,477.52, 17,215.07 and 5,235.66

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Solution

The fourth proportional to 11,477.52, 17,215.07 and 5,235.66 is: 7,852.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.52 : 17,215.07 = 5,235.66 : x
  2. Step 2: Convert to fraction form
    11,477.52/17,215.07 = 5,235.66/x
  3. Step 3: Cross multiply
    11,477.52x = 17,215.07 × 5,235.66
  4. Step 4: Simplify right side
    11,477.52x = 90,132,227.22
  5. Step 5: Solve for x
    x = 90,132,227.22/11,477.52
  6. Step 6: Final answer
    x = 7,852.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.