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Finding the Fourth Proportional to 10,459.42, 14,433.73 and 5,679.20

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Solution

The fourth proportional to 10,459.42, 14,433.73 and 5,679.20 is: 7,837.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.42 : 14,433.73 = 5,679.20 : x
  2. Step 2: Convert to fraction form
    10,459.42/14,433.73 = 5,679.20/x
  3. Step 3: Cross multiply
    10,459.42x = 14,433.73 × 5,679.20
  4. Step 4: Simplify right side
    10,459.42x = 81,972,061.30
  5. Step 5: Solve for x
    x = 81,972,061.30/10,459.42
  6. Step 6: Final answer
    x = 7,837.15

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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.