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Finding the Fourth Proportional to 8,097.41, 11,174.47 and 5,114.58

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Solution

The fourth proportional to 8,097.41, 11,174.47 and 5,114.58 is: 7,058.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.41 : 11,174.47 = 5,114.58 : x
  2. Step 2: Convert to fraction form
    8,097.41/11,174.47 = 5,114.58/x
  3. Step 3: Cross multiply
    8,097.41x = 11,174.47 × 5,114.58
  4. Step 4: Simplify right side
    8,097.41x = 57,152,720.77
  5. Step 5: Solve for x
    x = 57,152,720.77/8,097.41
  6. Step 6: Final answer
    x = 7,058.15

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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.