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Finding the Fourth Proportional to 7,309.22, 10,086.68 and 4,165.42

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Solution

The fourth proportional to 7,309.22, 10,086.68 and 4,165.42 is: 5,748.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.22 : 10,086.68 = 4,165.42 : x
  2. Step 2: Convert to fraction form
    7,309.22/10,086.68 = 4,165.42/x
  3. Step 3: Cross multiply
    7,309.22x = 10,086.68 × 4,165.42
  4. Step 4: Simplify right side
    7,309.22x = 42,015,258.61
  5. Step 5: Solve for x
    x = 42,015,258.61/7,309.22
  6. Step 6: Final answer
    x = 5,748.25

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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.