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Finding the Fourth Proportional to 7,869.69, 11,806.58 and 3,486.11

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Solution

The fourth proportional to 7,869.69, 11,806.58 and 3,486.11 is: 5,230.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869.69 : 11,806.58 = 3,486.11 : x
  2. Step 2: Convert to fraction form
    7,869.69/11,806.58 = 3,486.11/x
  3. Step 3: Cross multiply
    7,869.69x = 11,806.58 × 3,486.11
  4. Step 4: Simplify right side
    7,869.69x = 41,158,966.68
  5. Step 5: Solve for x
    x = 41,158,966.68/7,869.69
  6. Step 6: Final answer
    x = 5,230.06

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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.