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Finding the Fourth Proportional to 11,673.76, 17,510.63 and 3,465.76

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Solution

The fourth proportional to 11,673.76, 17,510.63 and 3,465.76 is: 5,198.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673.76 : 17,510.63 = 3,465.76 : x
  2. Step 2: Convert to fraction form
    11,673.76/17,510.63 = 3,465.76/x
  3. Step 3: Cross multiply
    11,673.76x = 17,510.63 × 3,465.76
  4. Step 4: Simplify right side
    11,673.76x = 60,687,641.03
  5. Step 5: Solve for x
    x = 60,687,641.03/11,673.76
  6. Step 6: Final answer
    x = 5,198.64

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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.