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Finding the Fourth Proportional to 11,707.68, 17,559.36 and 3,916.32

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Solution

The fourth proportional to 11,707.68, 17,559.36 and 3,916.32 is: 5,873.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.68 : 17,559.36 = 3,916.32 : x
  2. Step 2: Convert to fraction form
    11,707.68/17,559.36 = 3,916.32/x
  3. Step 3: Cross multiply
    11,707.68x = 17,559.36 × 3,916.32
  4. Step 4: Simplify right side
    11,707.68x = 68,768,072.76
  5. Step 5: Solve for x
    x = 68,768,072.76/11,707.68
  6. Step 6: Final answer
    x = 5,873.76

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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.