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Finding the Fourth Proportional to 11,683.69, 17,526.58 and 4,662

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Solution

The fourth proportional to 11,683.69, 17,526.58 and 4,662 is: 6,993.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.69 : 17,526.58 = 4,662 : x
  2. Step 2: Convert to fraction form
    11,683.69/17,526.58 = 4,662/x
  3. Step 3: Cross multiply
    11,683.69x = 17,526.58 × 4,662
  4. Step 4: Simplify right side
    11,683.69x = 81,708,904.31
  5. Step 5: Solve for x
    x = 81,708,904.31/11,683.69
  6. Step 6: Final answer
    x = 6,993.42

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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.