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Finding the Fourth Proportional to 11,465.54, 17,201.30 and 3,970.66

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Solution

The fourth proportional to 11,465.54, 17,201.30 and 3,970.66 is: 5,957.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.54 : 17,201.30 = 3,970.66 : x
  2. Step 2: Convert to fraction form
    11,465.54/17,201.30 = 3,970.66/x
  3. Step 3: Cross multiply
    11,465.54x = 17,201.30 × 3,970.66
  4. Step 4: Simplify right side
    11,465.54x = 68,300,513.86
  5. Step 5: Solve for x
    x = 68,300,513.86/11,465.54
  6. Step 6: Final answer
    x = 5,957.03

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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.