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Finding the Fourth Proportional to 11,618.29, 16,033.71 and 6,582.75

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Solution

The fourth proportional to 11,618.29, 16,033.71 and 6,582.75 is: 9,084.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,618.29 : 16,033.71 = 6,582.75 : x
  2. Step 2: Convert to fraction form
    11,618.29/16,033.71 = 6,582.75/x
  3. Step 3: Cross multiply
    11,618.29x = 16,033.71 × 6,582.75
  4. Step 4: Simplify right side
    11,618.29x = 105,545,904.50
  5. Step 5: Solve for x
    x = 105,545,904.50/11,618.29
  6. Step 6: Final answer
    x = 9,084.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.