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Finding the Fourth Proportional to 11,707.68, 17,555.52 and 4,311.84

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Solution

The fourth proportional to 11,707.68, 17,555.52 and 4,311.84 is: 6,465.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.68 : 17,555.52 = 4,311.84 : x
  2. Step 2: Convert to fraction form
    11,707.68/17,555.52 = 4,311.84/x
  3. Step 3: Cross multiply
    11,707.68x = 17,555.52 × 4,311.84
  4. Step 4: Simplify right side
    11,707.68x = 75,696,593.36
  5. Step 5: Solve for x
    x = 75,696,593.36/11,707.68
  6. Step 6: Final answer
    x = 6,465.55

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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.