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Finding the Fourth Proportional to 7,806.95, 11,696.24 and 4,513.08

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Solution

The fourth proportional to 7,806.95, 11,696.24 and 4,513.08 is: 6,761.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.95 : 11,696.24 = 4,513.08 : x
  2. Step 2: Convert to fraction form
    7,806.95/11,696.24 = 4,513.08/x
  3. Step 3: Cross multiply
    7,806.95x = 11,696.24 × 4,513.08
  4. Step 4: Simplify right side
    7,806.95x = 52,786,066.82
  5. Step 5: Solve for x
    x = 52,786,066.82/7,806.95
  6. Step 6: Final answer
    x = 6,761.42

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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.