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Finding the Fourth Proportional to 7,806.23, 11,703.87 and 2,875.24

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Solution

The fourth proportional to 7,806.23, 11,703.87 and 2,875.24 is: 4,310.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.23 : 11,703.87 = 2,875.24 : x
  2. Step 2: Convert to fraction form
    7,806.23/11,703.87 = 2,875.24/x
  3. Step 3: Cross multiply
    7,806.23x = 11,703.87 × 2,875.24
  4. Step 4: Simplify right side
    7,806.23x = 33,651,362.28
  5. Step 5: Solve for x
    x = 33,651,362.28/7,806.23
  6. Step 6: Final answer
    x = 4,310.83

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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.