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Finding the Fourth Proportional to 5,141.63, 7,109.44 and 5,058.27

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Solution

The fourth proportional to 5,141.63, 7,109.44 and 5,058.27 is: 6,994.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.63 : 7,109.44 = 5,058.27 : x
  2. Step 2: Convert to fraction form
    5,141.63/7,109.44 = 5,058.27/x
  3. Step 3: Cross multiply
    5,141.63x = 7,109.44 × 5,058.27
  4. Step 4: Simplify right side
    5,141.63x = 35,961,454.42
  5. Step 5: Solve for x
    x = 35,961,454.42/5,141.63
  6. Step 6: Final answer
    x = 6,994.17

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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.