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Finding the Fourth Proportional to 8,448.57, 11,657.97 and 5,090.58

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Solution

The fourth proportional to 8,448.57, 11,657.97 and 5,090.58 is: 7,024.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,448.57 : 11,657.97 = 5,090.58 : x
  2. Step 2: Convert to fraction form
    8,448.57/11,657.97 = 5,090.58/x
  3. Step 3: Cross multiply
    8,448.57x = 11,657.97 × 5,090.58
  4. Step 4: Simplify right side
    8,448.57x = 59,345,828.92
  5. Step 5: Solve for x
    x = 59,345,828.92/8,448.57
  6. Step 6: Final answer
    x = 7,024.36

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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.