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Finding the Fourth Proportional to 11,785.68, 17,681.55 and 3,465.96

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Solution

The fourth proportional to 11,785.68, 17,681.55 and 3,465.96 is: 5,199.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.68 : 17,681.55 = 3,465.96 : x
  2. Step 2: Convert to fraction form
    11,785.68/17,681.55 = 3,465.96/x
  3. Step 3: Cross multiply
    11,785.68x = 17,681.55 × 3,465.96
  4. Step 4: Simplify right side
    11,785.68x = 61,283,545.04
  5. Step 5: Solve for x
    x = 61,283,545.04/11,785.68
  6. Step 6: Final answer
    x = 5,199.83

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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.