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Finding the Fourth Proportional to 11,465.29, 17,200.93 and 3,970.41

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Solution

The fourth proportional to 11,465.29, 17,200.93 and 3,970.41 is: 5,956.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.29 : 17,200.93 = 3,970.41 : x
  2. Step 2: Convert to fraction form
    11,465.29/17,200.93 = 3,970.41/x
  3. Step 3: Cross multiply
    11,465.29x = 17,200.93 × 3,970.41
  4. Step 4: Simplify right side
    11,465.29x = 68,294,744.48
  5. Step 5: Solve for x
    x = 68,294,744.48/11,465.29
  6. Step 6: Final answer
    x = 5,956.65

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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.