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Finding the Fourth Proportional to 12,094.89, 16,691.37 and 7,058.31

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Solution

The fourth proportional to 12,094.89, 16,691.37 and 7,058.31 is: 9,740.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,094.89 : 16,691.37 = 7,058.31 : x
  2. Step 2: Convert to fraction form
    12,094.89/16,691.37 = 7,058.31/x
  3. Step 3: Cross multiply
    12,094.89x = 16,691.37 × 7,058.31
  4. Step 4: Simplify right side
    12,094.89x = 117,812,774.72
  5. Step 5: Solve for x
    x = 117,812,774.72/12,094.89
  6. Step 6: Final answer
    x = 9,740.71

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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.