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Finding the Fourth Proportional to 7,802.49, 11,705.60 and 2,537.54

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Solution

The fourth proportional to 7,802.49, 11,705.60 and 2,537.54 is: 3,806.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.49 : 11,705.60 = 2,537.54 : x
  2. Step 2: Convert to fraction form
    7,802.49/11,705.60 = 2,537.54/x
  3. Step 3: Cross multiply
    7,802.49x = 11,705.60 × 2,537.54
  4. Step 4: Simplify right side
    7,802.49x = 29,703,357.01
  5. Step 5: Solve for x
    x = 29,703,357.01/7,802.49
  6. Step 6: Final answer
    x = 3,806.91

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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.